Shing-Tung Yau의 정보
수상나이 33
출생년도 1949
사망년도
출생지 Kwuntung(China)
현재소속 Harvard University
연구실적 [자세히 보기]
관련출판물 1.H Araki, Profiles of 1982 Fields Medal winners (Japanese), Sugaku 35 (1) (1983), 70-77.

2.S Kobayashi, The work of Shing Tung Yau (Japanese), Sugaku 35 (2) (1983), 121-127.

3.L Nirenberg, The work of Yau Shing-Tung, Proceedings of the International Congress of Mathematicians, Warsaw 1983 1 (Warsaw, 1984), 15-19.

4.L Nirenberg, The work of Shing-Tung Yau, Notices Amer. Math. Soc. 29 (1982), 501-502.

5.R Stern and G Tian, Donaldson and Yau receive Crafoord prize, Notices Amer. Math. Soc. 41 (7) (1994), 794-796.

시상내역 Made contributions in differential equations, also to the Calabi conjecture in algebraic geometry, to the positive mass conjecture of general relativity theory, and to real and complex Monge-Amp?re equations.
Other Award Oswald Veblen Prize(1981), Crafoord Prize(1994)
연구단행본 [1] Yau, Shing-Tung; Yau, Stephen S.-T. Real-time numerical solution to Duncan-Mortensen-Zakai equation. Foundations of computational mathematics (Oxford, 1999), 361--400, London Math. Soc. Lecture Note Ser., 284, Cambridge Univ. Press, Cambridge, 2001. 65C30 (60G35 60H35)
[2] Lian, Bong H.; Yau, Shing-Tung A tour of mirror symmetry. First International Congress of Chinese Mathematicians (Beijing, 1998), 115--127, AMS/IP Stud. Adv. Math., 20, Amer. Math. Soc., Providence, RI, 2001. 81T30 (32Gxx)
[3] Lian, Bong H.; Yau, Shing-Tung Differential equations from mirror symmetry. Surveys in differential geometry: differential geometry inspired by string theory, 510--526, Surv. Differ. Geom., 5, Int. Press, Boston, MA, 1999. 32G20 (14J32)
[4] Lian, Bong H.; Liu, Kefeng; Yau, Shing-Tung Mirror principle, a survey. Current developments in mathematics, 1998 (Cambridge, MA), 35--82, Int. Press, Somerville, MA, 1999. 14N10 (14J32 14M25 14N35)
[5] Yau, S.-T. Review of geometry and analysis. Mathematics: frontiers and perspectives, 353--401, Amer. Math. Soc., Providence, RI, 2000. 53-02 (58-02)
[6] First International Congress of Chinese Mathematicians. Proceedings of the congress (ICCM98) held in Beijing, December 12--16, 1998. Edited by Lo Yang and S.-T. Yau. AMS/IP Studies in Advanced Mathematics, 20. American Mathematical Society, Providence, RI; International Press, Somerville, MA, 2001. lxxvi+518 pp. ISBN: 0-8218-2652-2 00B25
[7] Yau, S.-T. Einstein manifolds with zero Ricci curvature. Surveys in differential geometry: essays on Einstein manifolds, 1--14, Surv. Differ. Geom., VI, Int. Press, Boston, MA, 1999. 32Q25 (14J32 32Q20 53C25 53C26)
[8] Current developments in mathematics, 1998. Proceedings of the seminar held in Cambridge, MA, 1998. Edited by B. Mazur, W. Schmid, S. T. Yau, D. Jerison, I. Singer and D. Stroock. International Press, Somerville, MA, 1999. vi+278 pp. ISBN: 1-57146-077-2 00B25
[9] Surveys in differential geometry: differential geometry inspired by string theory. A supplement to the Journal of Differential Geometry. Edited by S.-T. Yau. Surveys in Differential Geometry, 5. International Press, Boston, MA, 1999. viii+569 pp. ISBN: 1-57146-070-5 00B15 (14-06 53-06)
[10] Lian, Bong H.; Yau, Shing-Tung On mirror symmetry. Algebra and geometry (Taipei, 1995), 207--213, Lect. Algebra Geom., 2, Internat. Press, Cambridge, MA, 1998. 14J32 (14D06 32G20)
[11] Lian, Bong H.; Yau, Shing-Tung Integrality of certain exponential series. Algebra and geometry (Taipei, 1995), 215--227, Lect. Algebra Geom., 2, Internat. Press, Cambridge, MA, 1998. 12H25 (14J32 14J81 32G20 33C20)
[12] Chung, Fan; Yau, S.-T. Coverings, heat kernels and spanning trees. Electron. J. Combin. 6 (1999), no. 1, Research Paper 12, 21 pp. (electronic). 35K05 (05C50 35K99 35P05)
[13] Current developments in mathematics, 1996. Papers from the seminar held in Cambridge, MA, 1996. Edited by Raoul Bott, Arthur Jaffe, David Jerison, George Lusztig, Isadore Singer and S. T. Yau. International Press, Boston, MA, 1997. iv+212 pp. ISBN: 1-57146-035-7 00B25
[14] S. S. Chern. A great geometer of the twentieth century. Expanded edition. Edited by S.-T. Yau. International Press, Cambridge, MA, 1998. xxxii+331 pp. ISBN: 1-57146-098-5 53-03 (01A60 01A70)
[15] Grigor\cprime yan, A.; Yau, S.-T. Decomposition of a metric space by capacitors. Differential equations: La Pietra 1996 (Florence), 39--75, Proc. Sympos. Pure Math., 65, Amer. Math. Soc., Providence, RI, 1999. 58J50 (31B15)
[16] Current developments in mathematics, 1997. Papers from the conference held in Cambridge, MA, 1997. Edited by Raoul Bott, Arthur Jaffe, David Jerison, George Lusztig, Isadore Singer and S. T. Yau. International Press, Boston, MA, 1999. ii+266 pp. ISBN: 1-57146-078-0 00B25
[17] Yau, Shing-Tung Introduction to enumerative invariants. Mirror symmetry, III (Montreal, PQ, 1995), 69--75, AMS/IP Stud. Adv. Math., 10, Amer. Math. Soc., Providence, RI, 1999. 14N10 (58D10)
[18] Surveys in differential geometry. Vol. III. A supplement to the Journal of Differential Geometry. Lectures on geometry and topology in honor of the 80th birthday of Chuan-Chih Hsiung held at Harvard University, Cambridge, MA, May 3--5, 1996. Edited by C.-C. Hsiung and S.-T. Yau. International Press, Boston, MA, 1998. x+339 pp. ISBN: 1-57146-067-5 58-06 (57-06)
[19] Jost, Jürgen; Yau, Shing-Tung Harmonic maps and superrigidity. Tsing Hua lectures on geometry & analysis (Hsinchu, 1990--1991), 213--246, Internat. Press, Cambridge, MA, 1997. 53C35 (22E40 32M15 58E20)
[20] Mirror symmetry. III. Proceedings of the Conference on Complex Geometry and Mirror Symmetry held at the University of Montreal, Montreal, PQ, 1995. Edited by Duong H. Phong, Luc Vinet and Shing-Tung Yau. AMS/IP Studies in Advanced Mathematics, 10. American Mathematical Society, Providence, RI; Université de Montréal, Centre de Recherches Mathématiques, Montreal, QC, 1999. x+312 pp. ISBN: 0-8218-1193-2 14-06 (32-06)
[21] Mirror symmetry. I. Revised reprint of Essays on mirror manifolds [Internat. Press, Hong Kong, 1992; MR 94b:32001]. Edited by Shing-Tung Yau. AMS/IP Studies in Advanced Mathematics, 9. American Mathematical Society, Providence, RI; International Press, Cambridge, MA, 1998. xiv+444 pp. ISBN: 0-8218-0665-3 32-06 (14-06)
[22] Elliptic curves, modular forms & Fermat's last theorem. Proceedings of the Conference on Elliptic Curves and Modular Forms held at the Chinese University of Hong Kong, Hong Kong, December 18--21, 1993. Edited by John Coates and S. T. Yau. Second edition. International Press, Cambridge, MA, 1997. iv+340 pp. ISBN: 1-57146-049-7 11-06 (11D41 11Fxx 11G05)
[23] Chung, F. R. K.; Yau, S.-T. A combinatorial trace formula. Tsing Hua lectures on geometry & analysis (Hsinchu, 1990--1991), 107--116, Internat. Press, Cambridge, MA, 1997. 58G11
[24] Schoen, R.; Yau, S. T. Lectures on harmonic maps. Conference Proceedings and Lecture Notes in Geometry and Topology, II. International Press, Cambridge, MA, 1997. vi+394 pp. ISBN: 1-57146-002-0 58E20 (53C42)
[25] Chung, F. R. K.; Grigor\cprime yan, A.; Yau, S.-T. Eigenvalues and diameters for manifolds and graphs. Tsing Hua lectures on geometry & analysis (Hsinchu, 1990--1991), 79--105, Internat. Press, Cambridge, MA, 1997. 58G99
[26] Yau, Shing Tang A note on the distribution of critical points of eigenfunctions. Tsing Hua lectures on geometry & analysis (Hsinchu, 1990--1991), 315--317, Internat. Press, Cambridge, MA, 1997. 58G03 (53C21)
[27] Tsing Hua lectures on geometry & analysis. Lectures from the seminar held at Tsing Hua University, Hsinchu, 1990--1991. Edited by Shing-Tung Yau. International Press, Cambridge, MA, 1997. iv+322 pp. ISBN: 1-57146-042-X 53-06
[28] Current developments in mathematics, 1995. Papers from the seminar held in Cambridge, MA, April 1995. Edited by Raoul Bott, Michael Hopkins, Arthur Jaffe, Isadore Singer, Daniel Stroock and Shing-Tung Yau. International Press, Cambridge, MA, 1994. ii+407 pp. ISBN: 1-57146-029-2 00B25
[29] Shi, Wanxiong; Yau, S. T. Harmonic maps on complete noncompact Riemannian manifolds. A tribute to Ilya Bakelman (College Station, TX, 1993), 79--120, Discourses Math. Appl., 3, Texas A & M Univ., College Station, TX, 1994. 58E20 (58G11)
[30] Yau, Shing-Tung; Zaslow, Eric BPS states as symplectic invariants from string theory. Geometry and physics (Aarhus, 1995), 177--186, Lecture Notes in Pure and Appl. Math., 184, Dekker, New York, 1997. 32G81 (14N10 32J17 81T30)
[31] Klemm, A.; Lian, B. H.; Roan, S. S.; Yau, S. T. A note on ODEs from mirror symmetry. Functional analysis on the eve of the 21st century, Vol. II (New Brunswick, NJ, 1993), 301--323, Progr. Math., 132, Birkhäuser Boston, Boston, MA, 1996. 32G34 (14D05 14J32 32G20)
[32] Schoen, R.; Yau, S.-T. Lectures on differential geometry. Lecture notes prepared by Wei Yue Ding, Kung Ching Chang [Gong Qing Zhang], Jia Qing Zhong and Yi Chao Xu. Translated from the Chinese by Ding and S. Y. Cheng. Preface translated from the Chinese by Kaising Tso. Conference Proceedings and Lecture Notes in Geometry and Topology, I. International Press, Cambridge, MA, 1994. v+235 pp. ISBN: 1-57146-012-8 53-01 (53-02 53C21 58G30)
[33] Mirror symmetry. II. Edited by B. Greene and S.-T. Yau. AMS/IP Studies in Advanced Mathematics, 1. American Mathematical Society, Providence, RI; International Press, Cambridge, MA, 1997. xvi+844 pp. ISBN: 0-8218-0634-3 00B25 (14-06 32-06 81-06)
[34] Lian, Bong H.; Yau, Shing-Tung Mirror symmetry, rational curves on algebraic manifolds and hypergeometric series. XIth International Congress of Mathematical Physics (Paris, 1994), 163--184, Internat. Press, Cambridge, MA, 1995. 14N10 (14D05 14J28 14J32 32G20 32J81)
[35] Yau, Shing-Tung Review on Kähler-Einstein metrics in algebraic geometry. Proceedings of the Hirzebruch 65 Conference on Algebraic Geometry (Ramat Gan, 1993), 433--443, Israel Math. Conf. Proc., 9, Bar-Ilan Univ., Ramat Gan, 1996. 32L07 (53C25 53C55)
[36] Smoller, J. A.; Wasserman, A. G.; Yau, S.-T. Einstein-Yang/Mills black hole solutions. Chen Ning Yang, 209--220, Internat. Press, Cambridge, MA, 1995. 83C57 (53C07 58E15 81T13 83C20)
[37] Surveys in differential geometry. Vol. II. A supplement to the Journal of Differential Geometry. Proceedings of the Conference on Geometry and Topology held at Harvard University, Cambridge, Massachusetts, April 23--25, 1993. Edited by C.-C. Hsiung and S.-T. Yau. International Press, Cambridge, MA, 1995. viii+456 pp. ISBN: 1-57146-027-6 00B25 (57-06)
[38] Elliptic curves, modular forms, & Fermat's last theorem. Proceedings of the Conference on Elliptic Curves and Modular Forms held at the Chinese University of Hong Kong, Hong Kong, December 18--21, 1993. Edited by John Coates and S.-T. Yau. Series in Number Theory, I. International Press, Cambridge, MA, 1995. ii+191 pp. ISBN: 1-57146-026-8 11-06 (11D41 11Fxx 11G05)
[39] Geometry, topology, & physics. For Raoul Bott. Including papers from the Geometry and Topology Conference held in honor of Raoul Bott at Harvard University, Cambridge, Massachusetts, April 1993. Edited by S.-T. Yau. Conference Proceedings and Lecture Notes in Geometry and Topology, IV. International Press, Cambridge, MA, 1995. iv+538 pp. ISBN: 1-57146-024-1 00B30 (00B25 58-06)
[40] Chen Ning Yang. A great physicist of the twentieth century. Edited by C. S. Liu and S.-T. Yau. International Press, Cambridge, MA, 1995. viii+465 pp. ISBN: 1-57146-001-2 00B30 (81-06 82-06)
[41] Perspectives in mathematical physics. Edited by Robert Penner and Shing-Tung Yau. Conference Proceedings and Lecture Notes in Mathematical Physics, III. International Press, Cambridge, MA, 1994. iii+307 pp. ISBN: 1-57146-009-8 00B25 (58-06 81-06)
[42] Hübsch, Tristan; Yau, Shing-Tung On the geometry of certain superconformal field theory paradigms (towards a quantum algebraic geometry). Algebraic geometry and related topics (Inchon, 1992), 121--149, Conf. Proc. Lecture Notes Algebraic Geom., I, Internat. Press, Cambridge, MA, 1993. 32G81 (14J32 32J81 81T40)
[43] Jost, Jürgen; Yau, Shing-Tung Applications of quasilinear PDE to algebraic geometry and arithmetic lattices. Algebraic geometry and related topics (Inchon, 1992), 169--193, Conf. Proc. Lecture Notes Algebraic Geom., I, Internat. Press, Cambridge, MA, 1993. 32Gxx (14G40 14H15 22E40 32-02 58-02 58E20)
[44] Jost, Jürgen; Yau, Shing-Tung Harmonic maps and superrigidity. Differential geometry: partial differential equations on manifolds (Los Angeles, CA, 1990), 245--280, Proc. Sympos. Pure Math., 54, Part 1, Amer. Math. Soc., Providence, RI, 1993. 58E20 (53C35)
[45] Yau, Shing-Tung Open problems in geometry. Differential geometry: partial differential equations on manifolds (Los Angeles, CA, 1990), 1--28, Proc. Sympos. Pure Math., 54, Part 1, Amer. Math. Soc., Providence, RI, 1993. 53-02
[46] Chern---a great geometer of the twentieth century. Edited by Shing-Tung Yau. International Press, Hong Kong, 1992. vi+320 pp. ISBN: 962-7670-02-2 53-03 (01A60 01A70)
[47] Essays on mirror manifolds. Edited by Shing-Tung Yau. International Press, Hong Kong, 1992. vi+502 pp. ISBN: 962-7670-01-4 32-06 (14J30 32G20 32J17 32J81 81T30 81T40)
[48] Li, Peter; Yau, Shing-Tung Asymptotically flat complete Kähler manifolds. Complex geometry (Osaka, 1990), 131--144, Lecture Notes in Pure and Appl. Math., 143, Dekker, New York, 1993. 53C55 (32C17)
[49] Differential geometry: Riemannian geometry. Proceedings of the AMS Summer Research Institute on Differential Geometry held at the University of California, Los Angeles, California, July 8--28, 1990. Edited by Robert Greene and S.-T. Yau. Proceedings of Symposia in Pure Mathematics, 54, Part 3. American Mathematical Society, Providence, RI, 1993. xxii+710 pp. ISBN: 0-8218-1496-6 00B25 (58-06)
[50] Differential geometry: geometry in mathematical physics and related topics. Proceedings of the AMS Summer Research Institute on Differential Geometry held at the University of California, Los Angeles, California, July 8--28, 1990. Edited by Robert Greene and S.-T. Yau. Proceedings of Symposia in Pure Mathematics, 54, Part 2. American Mathematical Society, Providence, RI, 1993. xxii+655 pp. ISBN: 0-8218-1495-8 00B25 (53-06 58-06 81-06)
[51] Differential geometry: partial differential equations on manifolds. Proceedings of the AMS Summer Research Institute on Differential Geometry held at the University of California, Los Angeles, California, July 8--28, 1990. Edited by Robert Greene and S.-T. Yau. Proceedings of Symposia in Pure Mathematics, 54, Part 1. American Mathematical Society, Providence, RI, 1993. xxii+560 pp. ISBN: 0-8218-1494-X 00B25 (49-06 53-06 58-06)
[52] Jost, Jürgen; Yau, Shing-Tung Harmonic maps and group representations. Differential geometry, 241--259, Pitman Monogr. Surveys Pure Appl. Math., 52, Longman Sci. Tech., Harlow, 1991. 58E20 (22E40 58E40)
[53] Yau, S.-T.; Zheng, F. On projective manifolds covered by space $C\sp n$. International Symposium in Memory of Hua Loo Keng, Vol. II (Beijing, 1988), 323--332, Springer, Berlin, 1991. 14J10 (14J15 32J27)
[54] Li, Peter; Treibergs, Andrejs; Yau, Shing-Tung How to hear the volume of convex domains. Geometry and nonlinear partial differential equations (Fayetteville, AR, 1990), 109--117, Contemp. Math., 127, Amer. Math. Soc., Providence, RI, 1992. 35R30 (35P05 58G25)
[55] Yau, Shing-Tung A review of complex differential geometry. Several complex variables and complex geometry, Part 2 (Santa Cruz, CA, 1989), 619--625, Proc. Sympos. Pure Math., 52, Part 2, Amer. Math. Soc., Providence, RI, 1991. 32C17 (01A60 32-02 53-02 53C55)
[56] Jost, Jürgen; Yau, Shing-Tung Harmonic maps and Kähler geometry. Prospects in complex geometry (Katata and Kyoto, 1989), 340--370, Lecture Notes in Math., 1468, Springer, Berlin, 1991. 32C17 (58E20)
[57] Schoen, Richard; Yau, Shing-Tung The structure of manifolds with positive scalar curvature. Directions in partial differential equations (Madison, WI, 1985), 235--242, Publ. Math. Res. Center Univ. Wisconsin, 54, Academic Press, Boston, MA, 1987. 53C20 (58E15 58G30)
[58] Mathematical aspects of string theory. Proceedings of the conference held at the University of California, San Diego, California, July 21--August 1, 1986. Edited by S.-T. Yau. Advanced Series in Mathematical Physics, 1. World Scientific Publishing Co., Singapore, 1987. x+654 pp. ISBN: 9971-50-273-9; 9971-50-274-7 81-06 (14H15 32G15 81E30 83-06 83E30)
[59] Christodoulou, D.; Yau, S.-T. Some remarks on the quasi-local mass. Mathematics and general relativity (Santa Cruz, CA, 1986), 9--14, Contemp. Math., 71, Amer. Math. Soc., Providence, RI, 1988. 83C99 (58E12)
[60] Yau, S.-T. Uniformization of geometric structures. The mathematical heritage of Hermann Weyl (Durham, NC, 1987), 265--274, Proc. Sympos. Pure Math., 48, Amer. Math. Soc., Providence, RI, 1988. 53C20 (32G13 32L25 53C25 53C55 58G30)
[61] Yau, Shing-Tung Some recent developments in general relativity. General relativity and gravitation (Stockholm, 1986), 247--252, Cambridge Univ. Press, Cambridge, 1987. 83-02 (58E15 83C05 83C30)
[62] Yau, Shing-Tung Nonlinear analysis in geometry. Monographies de L'Enseignement Mathématique [Monographs of L'Enseignement Mathématique], 33. Série des Conférences de l'Union Mathématique Internationale [Lecture Series of the International Mathematics Union], 8. L'Enseignement Mathématique, Geneva, 1986. 54 pp. 53-02 (32-02 53Cxx 58-02)
[63] Cheng, S. Y.; Yau, S.-T. Inequality between Chern numbers of singular Kähler surfaces and characterization of orbit space of discrete group of ${\rm SU}(2,1)$. Complex differential geometry and nonlinear differential equations (Brunswick, Maine, 1984), 31--44, Contemp. Math., 49, Amer. Math. Soc., Providence, RI, 1986. 53C55 (32C10)
[64] Yau, Shing-Tung Compact three-dimensional Kähler manifolds with zero Ricci curvature. Symposium on anomalies, geometry, topology (Chicago, Ill., 1985), 395--406, World Sci. Publishing, Singapore, 1985. 53C55 (81E20 83E15)
[65] Nirenberg, Louis The work of Yau Shing-Tung. Proceedings of the International Congress of Mathematicians, Vol. 1, 2 (Warsaw, 1983), 15--19, PWN, Warsaw, 1984. 58-02 (01A60 53-02)
[66] Yau, Shing-Tung On the structure of complete manifolds with positive scalar curvature. Differential geometry and complex analysis, 219--222, Springer, Berlin, 1985. 53C20 (53-02)
[67] Mok, Ngaiming; Yau, Shing-Tung Completeness of the Kähler-Einstein metric on bounded domains and the characterization of domains of holomorphy by curvature conditions. The mathematical heritage of Henri Poincaré, Part 1 (Bloomington, Ind., 1980), 41--59, Proc. Sympos. Pure Math., 39, Amer. Math. Soc., Providence, RI, 1983. 53C55 (32F15 53C25)
[68] Yau, Shing-Tung A survey on Kähler-Einstein metrics. Complex analysis of several variables (Madison, Wis., 1982), 285--289, Proc. Sympos. Pure Math., 41, Amer. Math. Soc., Providence, RI, 1984. 53C55 (32J99 58E11)
[69] Cheng, Shiu Yuen; Yau, Shing-Tung The real Monge-Ampère equation and affine flat structures. Proceedings of the 1980 Beijing Symposium on Differential Geometry and Differential Equations, Vol. 1, 2, 3 (Beijing, 1980), 339--370, Science Press, Beijing, 1982. 53C55 (35J65 53C45 58G30)
[70] Schoen, Richard; Yau, Shing Tung Complete three-dimensional manifolds with positive Ricci curvature and scalar curvature. Seminar on Differential Geometry, pp. 209--228, Ann. of Math. Stud., 102, Princeton Univ. Press, Princeton, N.J., 1982. 53C20 (57R99 57S15 58E12)
[71] Yau, Shing Tung Survey on partial differential equations in differential geometry. Seminar on Differential Geometry, pp. 3--71, Ann. of Math. Stud., 102, Princeton Univ. Press, Princeton, N.J., 1982. 53-02 (35Jxx 53Cxx 58E20 58Gxx)
[72] Siu, Yum Tong; Yau, Shing Tung Compactification of negatively curved complete Kähler manifolds of finite volume. Seminar on Differential Geometry, pp. 363--380, Ann. of Math. Stud., 102, Princeton Univ. Press, Princeton, N.J., 1982. 32J05 (53C55)
[73] Yau, Shing Tung Problem section. Seminar on Differential Geometry, pp. 669--706, Ann. of Math. Stud., 102, Princeton Univ. Press, Princeton, N.J., 1982. 53Cxx (58-02)
[74] Seminar on Differential Geometry. Papers presented at seminars held during the academic year 1979--1980. Edited by Shing Tung Yau. Annals of Mathematics Studies, 102. Princeton University Press, Princeton, N.J.; University of Tokyo Press, Tokyo, 1982. ix+706 pp. ISBN: 0-691-08268-5; 0-691-08296-0 53-06
[75] Yau, Shing Tung The total mass and the topology of an asymptotically flat space-time. The Chern Symposium 1979 (Proc. Internat. Sympos., Berkeley, Calif., 1979), pp. 255--259, Springer, New York-Berlin, 1980. 83C99 (58D10)
[76] Schoen, R.; Wolpert, S.; Yau, S. T. Geometric bounds on the low eigenvalues of a compact surface. Geometry of the Laplace operator (Proc. Sympos. Pure Math., Univ. Hawaii, Honolulu, Hawaii, 1979), pp. 279--285, Proc. Sympos. Pure Math., XXXVI, Amer. Math. Soc., Providence, R.I., 1980. 58G25 (49G05 53C20)
[77] Li, Peter; Yau, Shing Tung Estimates of eigenvalues of a compact Riemannian manifold. Geometry of the Laplace operator (Proc. Sympos. Pure Math., Univ. Hawaii, Honolulu, Hawaii, 1979), pp. 205--239, Proc. Sympos. Pure Math., XXXVI, Amer. Math. Soc., Providence, R.I., 1980. 58G25 (53C20)
[78] Yau, Shing Tung The role of partial differential equations in differential geometry. Proceedings of the International Congress of Mathematicians (Helsinki, 1978), pp. 237--250, Acad. Sci. Fennica, Helsinki, 1980. 53C20 (58G30)
[79] Meeks, William H., III; Yau, Shing Tung The classical Plateau problem and the topology of $3$-manifolds. Minimal submanifolds and geodesics (Proc. Japan-United States Sem., Tokyo, 1977), pp. 101--102, North-Holland, Amsterdam-New York, 1979. 49F10 (53A10 57M35)
[80] Bourguignon, Jean-Pierre Premières formes de Chern des variétés kählériennes compactes [d'après E. Calabi, T. Aubin et S. T. Yau]. (French) Séminaire Bourbaki, 30e année (1977/78), Exp. No. 507, pp. 1--21, Lecture Notes in Math., 710, Springer, Berlin, 1979. 58G30 (32C10 53C55)
[81] Yau, Shing Tung Harmonic maps between Riemannian manifolds. Partial differential equations and geometry (Proc. Conf., Park City, Utah, 1977), pp. 307--311, Lecture Notes in Pure and Appl. Math., 48, Dekker, New York, 1979. 58E20 (31C05)
[82] Yau, S.-T. The work of Kefeng Liu. First International Congress of Chinese Mathematicians (Beijing, 1998), lv--lvi, AMS/IP Stud. Adv. Math., 20, Amer. Math. Soc., Providence, RI, 2001. 01A70
[83] Yau, S.-T. The work of Chang-Shou Lin. First International Congress of Chinese Mathematicians (Beijing, 1998), xli--xlii, AMS/IP Stud. Adv. Math., 20, Amer. Math. Soc., Providence, RI, 2001. 01A70
[84] Lian, Bong H.; Liu, Kefeng; Yau, Shing-Tung Mirror principle. II [MR 2001a:14057]. Surveys in differential geometry: differential geometry inspired by string theory, 455--509, Surv. Differ. Geom., 5, Int. Press, Boston, MA, 1999. 14N10 (14D20 14J32)
[85] Lian, Bong H.; Liu, Kefeng; Yau, Shing-Tung Mirror principle. I [MR 99e:14062]. Surveys in differential geometry: differential geometry inspired by string theory, 405--454, Surv. Differ. Geom., 5, Int. Press, Boston, MA, 1999. 14N10 (14D20 14J32)
[86] Salaff, Stephen; Yau, Shing-Tung Ordinary differential equations. Second edition. International Press, Cambridge, MA, 1998. vi+72 pp. ISBN: 1-57146-065-9 34-01
[87] Yau, Shing Tung A note on the distribution of critical points of eigenfunctions. Collection of papers on geometry, analysis and mathematical physics, 173--175, World Sci. Publishing, River Edge, NJ, 1997. 35P20 (35J25)
[88] Yau, Shing Tung Sobolev inequality for measure space. Tsing Hua lectures on geometry & analysis (Hsinchu, 1990--1991), 299--313, Internat. Press, Cambridge, MA, 1997. 46E35 (26D15)
[89] Hosono, S.; Klemm, A.; Theisen, S.; Yau, S.-T. Mirror symmetry, mirror map and applications to complete intersection Calabi-Yau spaces [MR 96d:32028]. Mirror symmetry, II, 545--606, AMS/IP Stud. Adv. Math., 1, Amer. Math. Soc., Providence, RI, 1997. 32G81 (14J32 32G20 32J81 81T30)
[90] Yau, Shing-Tung The current state and prospects of geometry and nonlinear differential equations. Mathematical research today and tomorrow (Barcelona, 1991), 29--39, Lecture Notes in Math., 1525, Springer, Berlin, 1992. 53-02 (35-02 58-02)
[91] Yau, S.-T.; Zheng, F. Remarks on certain higher-dimensional quasi-Fuchsian domains. Differential geometry: geometry in mathematical physics and related topics (Los Angeles, CA, 1990), 629--635, Proc. Sympos. Pure Math., 54, Part 2, Amer. Math. Soc., Providence, RI, 1993. 32M15
[92] Yau, Shing-Tung Open problems in geometry. Chern---a great geometer of the twentieth century, 275--319, Internat. Press, Hong Kong, 1992. 53-02 (01A67)
[93] Yau, Shing-Tung S. S. Chern, as my teacher. Chern---a great geometer of the twentieth century, 271--274, Internat. Press, Hong Kong, 1992. 01A70
[94] Hübsch, Tristan; Yau, Shing-Tung An ${\rm SL}(2,C)$ action on certain Jacobian rings and the mirror map. Essays on mirror manifolds, 372--387, Internat. Press, Hong Kong, 1992. 32J27 (14L30 32G81 32J17)
[95] Tian, G.; Yau, S.-T. Existence of Kähler-Einstein metrics on complete Kähler manifolds and their applications to algebraic geometry. Mathematical aspects of string theory (San Diego, Calif., 1986), 574--628, Adv. Ser. Math. Phys., 1, World Sci. Publishing, Singapore, 1987. 32F99 (14J99 53C25 53C55 58E15 58G99)
[96] Li, Jun; Yau, Shing-Tung Hermitian-Yang-Mills connection on non-Kähler manifolds. Mathematical aspects of string theory (San Diego, Calif., 1986), 560--573, Adv. Ser. Math. Phys., 1, World Sci. Publishing, Singapore, 1987. 32L05 (53C05 58E15)
[97] Tian, G.; Yau, S.-T. Three-dimensional algebraic manifolds with $C\sb 1=0$ and $\chi=-6$. Mathematical aspects of string theory (San Diego, Calif., 1986), 543--559, Adv. Ser. Math. Phys., 1, World Sci. Publishing, Singapore, 1987. 14J30
[98] Yau, Shing-Tung A survey on the interaction between mathematical physics and geometry. VIIIth international congress on mathematical physics (Marseille, 1986), 305--310, World Sci. Publishing, Singapore, 1987. 00A69 (00A71 58-02)
[99] Meeks, William H., III; Yau, Shing-Tung Group actions on $R\sp{3}$. The Smith conjecture (New York, 1979), 167--179, Pure Appl. Math., 112, Academic Press, Orlando, FL, 1984. 57S25
[100] Yau, Shing-Tung; Meeks, William H., III The equivariant loop theorem for three-dimensional manifolds and a review of the existence theorems for minimal surfaces. The Smith conjecture (New York, 1979), 153--163, Pure Appl. Math., 112, Academic Press, Orlando, FL, 1984. 57M35 (57N10 58E12)
[101] Yau, Shing-Tung Minimal surfaces and their role in differential geometry. Global Riemannian geometry (Durham, 1983), 99--103, Ellis Horwood Ser. Math. Appl., Horwood, Chichester, 1984. 58E12 (53A10 53C22)
연구논문
  • Yau, Shing-Tung;Zhang, Wen   Nonlinear and linear elastic impact theory   Methods Appl. Anal.   7   3   (2001)   591-604   74Mxx
  • Chen, Beifang;Yau, Shing-Tung;Yeh, Yeong-Nan   Graph homotopy and Graham homotopy. Selected papers in honor of Helge Tverberg   Discrete Math.   241   1-3   (2001)   153-170   57M15, 05C10
  • Chung, Fan;Grigorcprime yan, Alexander;Yau, Shing-Tung   Higher eigenvalues and isoperimetric inequalities on Riemannian manifolds and graphs   Comm. Anal. Geom.   8   5   (2000)   969-1026   58Jxx
  • Lian, Bong H.;Liu, Kefeng;Yau, Shing-Tung   Mirror principle. III   Asian J. Math.   3   4   (1999)   771-800   14Dxx
  • Chiang, T.-M.;Klemm, A.;Yau, S.-T.;Zaslow, E.   Local mirror symmetry: calculations and interpretations   Adv. Theor. Math. Phys.   3   3   (1999)   495-565   14J32, 14M25, 14N35, 32J81, 81T30
  • Yau, S.-T.   Review of geometry and analysis. Kodaira's issue   Asian J. Math.   4   1   (2000)   235-278   53-02, 32Q25, 58-02
  • Finster, Felix;Smoller, Joel;Yau, Shing-Tung   The interaction of Dirac particles with non-abelian gauge fields and gravity---bound states   Nuclear Phys. B   584   1-2   (2000)   387-414   81T20, 81T13, 83C05, 83C60
  • Finster, Felix;Kamran, Niky;Smoller, Joel;Yau, Shing-Tung   "Erratum: ""Nonexistence of time-periodic solutions of the Dirac equation in an axisymmetric black hole geometry"""   Comm. Pure Appl. Math.   53   9   (2000)   1201   83C57, 35Q40, 35Q75, 58J90, 81T20
  • Finster, Felix;Kamran, Niky;Smoller, Joel;Yau, Shing-Tung   Nonexistence of time-periodic solutions of the Dirac equation in an axisymmetric black hole geometry   Comm. Pure Appl. Math.   53   7   (2000)   902-929   83C57, 35Q40, 35Q75, 58J90, 81T20
  • Yau, Shing-Tung;Yau, Stephen S.-T.   Real time solution of nonlinear filtering problem without memory. I   Math. Res. Lett.   7   5-6   (2000)   671-693   93E11, 35R60, 60G35
  • Andreas, Bj?rn;Yau, Shing-Tung;Curio, Gottfried;Ruip?rez, Daniel Hern?ndez   Fibrewise $T$-duality for D-branes on elliptic Calabi-Yau   J. High Energy Phys.     3   (2001)   13   81T30, 14J32, 14J81, 18E30
  • Witten, Edward;Yau, S.-T.   Connectedness of the boundary in the AdS/CFT correspondence   Adv. Theor. Math. Phys.   3   6   (1999)   1635-1655   53C25, 53C20, 53C80, 81T30, 83E30
  • Chung, Fan;Yau, S.-T.   A Harnack inequality for Dirichlet eigenvalues   J. Graph Theory   34   4   (2000)   247-257   05C50
  • Fr?hlich, J.;Graf, G. M.;Hasler, D.;Hoppe, J.;Yau, S.-T.   Asymptotic form of zero energy wave functions in supersymmetric matrix models   Nuclear Phys. B   567   1-2   (2000)   231-248   81Q60, 81T10, 81T60
  • Chung, Fan;Yau, S.-T.   Discrete Green's functions. In memory of Gian-Carlo Rota   J. Combin. Theory Ser. A   91   1-2   (2000)   191-214   05C50, 58J35, 58J50
  • Finster, Felix;Smoller, Joel;Yau, Shing-Tung   Some recent progress in classical general relativity   J. Math. Phys.   41   6   (2000)   3943-3963   83C20, 81V17, 83-02, 83C57
  • Finster, Felix;Smoller, Joel;Yau, Shing-Tung   The interaction of Dirac particles with non-abelian gauge fields and gravity---black holes   Michigan Math. J.   47   1   (2000)   199-208   83C57, 35Q75, 81T20, 83C20
  • Finster, Felix;Smoller, Joel;Yau, Shing-Tung   Non-existence of time-periodic solutions of the Dirac equation in a Reissner-Nordstr?m black hole background   J. Math. Phys.   47   1   (2000)   199-208   83C57, 35Q75, 81T20, 83C20
  • Yau, S.-T.   Open problems in geometry   J. Ramanujan Math. Soc.   15   2   (2000)   125-134   53-02, 57-02, 58-02
  • Finster, Felix;Smoller, Joel;Yau, Shing-Tung   Particlelike solutions of the Einstein-Dirac equations   Phys. Rev. D (3)   59   10   (1999)   19   83C05, 83C60
  • Lian, Bong H.;Liu, Kefeng;Yau, Shing-Tung   Mirror principle. II. Sir Michael Atiyah: a great mathematician of the twentieth century   Asian J. Math.   3   1   (1999)   109-146   14N10, 14D20, 14J32
  • Jost, J?rgen;Yau, Shing-Tung   Harmonic maps and rigidity theorems for spaces of nonpositive curvature   Comm. Anal. Geom.   7   4   (1999)   681-694   53C24, 53C43
  • Yau, Shing-Tung;Yau, Stephen S.-T.   Existence and decay estimates for time dependent parabolic equation with application to Duncan-Mortensen-Zakai equation. Mikio Sato: a great Japanese mathematician of the twentieth century   Asian J. Math.   2   4   (1998)   1079-1149   35K10, 35B05, 93E20
  • Finster, Felix;Smoller, Joel;Yau, Shing-Tung   Non-existence of black hole solutions for a spherically symmetric, static Einstein-Dirac-Maxwell system   Comm. Math. Phys.   205   2   (1999)   249-262   83C05, 81T20, 83C57, 83C60
  • Finster, Felix;Smoller, Joel;Yau, Shing-Tung   The coupling of gravity to spin and electromagnetism   Modern Phys. Lett. A   14   16   (1999)   1053-1057   83C50, 81T18, 81V17
  • Finster, Felix;Smoller, Joel;Yau, Shing-Tung   Particle-like solutions of the Einstein-Dirac-Maxwell equations   Phys. Lett. A   259   6   (1999)   431-436   83C22, 81T20
  • Yau, Shing-Tung;Yau, Stephen S. T.   Finite-dimensional filters with nonlinear drift. XI. Explicit solution of the generalized Kolmogorov equation in Brockett-Mitter program   Adv. Math.   140   2   (1998)   156-189   93E11, 60G35
  • Lian, Bong H.;Liu, Kefeng;Yau, Shing-Tung   The Candelas-de la Ossa-Green-Parkes formula. String theory, gauge theory and quantum gravity (Trieste, 1997)   Nuclear Phys. B Proc. Suppl.   67     (1998)   106-114   14N10, 14D20, 14J32
  • Klemm, A.;Lian, B.;Roan, S.-S.;Yau, S.-T.   Calabi-Yau four-folds for M- and F-theory compactifications   Nuclear Phys. B   518   3   (1998)   515-574   14J32, 14J35, 32J18, 81T30
  • Hoppe, Jens;Yau, Shing-Tung   Some properties of matrix harmonics on $Ssp 2$   Comm. Math. Phys.   195   1   (1998)   67-77   58G03, 53C80
  • Lian, Bong H.;Liu, Kefeng;Yau, Shing-Tung   Mirror principle. I   Asian J. Math.   1   4   (1997)   729-763   14N10, 14D20, 14J32
  • Chung, F. R. K.;Yau, S.-T.   Eigenvalue inequalities for graphs and convex subgraphs   Comm. Anal. Geom.   5   4   (1997)   575-623   58G99, 05C50
  • Hamilton, Richard S.;Yau, Shing-Tung   The Harnack estimate for the Ricci flow on a surface---revisited   Asian J. Math.   1   3   (1997)   418-421   53C21, 35B45, 35J60, 58G30
  • Chung, F. R. K.;Graham, R. L.;Yau, S.-T.   On sampling with Markov chains   Random Structures Algorithms   9   1-2   (1996)   55-77   15A18, 60J15, 60J20, 62D05
  • Yau, Shing Tung   A remark on the existence of sphere with prescribed mean curvature   Asian J. Math.   1   2   (1997)   293-294   53A10, 53C42
  • Yau, Shing-Tung   An application of eigenvalue estimate to algebraic curves defined by congruence subgroups   Math. Res. Lett.   3   2   (1996)   167-172   58G11, 14H99, 58G25, 58G26
  • Lian, Bong H.;Yau, Shing-Tung   Mirror maps, modular relations and hypergeometric series. II. $S$-duality and mirror symmetry (Trieste, 1995)   Nuclear Phys. B. Proc. Suppl.   46     (1996)   248-262   32G20, 14J32, 14N10, 32G81, 33C70
  • Hosono, S.;Lian, B. H.;Yau, S.-T.   GKZ-generalized hypergeometric systems in mirror symmetry of Calabi-Yau hypersurfaces   Comm. Math. Phys.   182   3   (1996)   535-577   14J32, 14M25, 32J18, 33C70
  • Chung, F. R. K.;Yau, S.-T.   Logarithmic Harnack inequalities   Math. Res. Lett.   3   6   (1996)   793-812   58G99
  • Strominger, Andrew;Yau, Shing-Tung;Zaslow, Eric   Mirror symmetry is $T$-duality   Nuclear Phys. B   479   1-2   (1996)   243-259   33J17, 14J32, 32J81, 81T30
  • Hosono, S.;Lian, B. H.;Yau, S.-T.   Maximal degeneracy points of GKZ systems   J. Amer. Math. Soc.   10   2   (1997)   427-443   32G20, 14H15, 14J32, 14M25, 33C90
  • Yau, S.-T.;Yau, S. S.-T.   Explicit solution of a Kolmogorov equation   Appl. Math. Optim.   34   3   (1996)   231-266   35K10, 35R60, 60G35, 93E11
  • Yau, Shing-Tung;Zaslow, Eric   BPS states, string duality, and nodal curves on $K3$   Nuclear Phys. B   471   3   (1996)   503-512   14N10, 14J28, 81T30
  • Shi, Wan-Xiong;Yau, S.-T.   A note on the total curvature of a K?hler manifold   Math. Res. Lett.   3   1   (1996)   123-132   53C55, 53C21
  • Chung, F. R. K.;Grigorcprime yan, A.;Yau, S.-T.   Upper bounds for eigenvalues of the discrete and continuous Laplace operators   Adv. Math.   117   2   (1996)   165-178   58G25, 35P15, 58G11
  • Huisken, Gerhard;Yau, Shing-Tung   Definition of center of mass for isolated physical systems and unique foliations by stable spheres with constant mean curvature   Invent. Math.   124   1-3   (1996)   281-311   53C20, 83C99
  • Chung, F. R. K.;Yau, S.-T.   A Harnack inequality for homogeneous graphs and subgraphs   Turkish J. Math.   19   2   (1995)   119-129   05C50
  • Yau, Shing-Tung   Harnack inequality for non-self-adjoint evolution equations   Math. Res. Lett.   2   4   (1995)   387-399   58G11, 53C21, 58G30
  • Lian, Bong H.;Yau, Shing-Tung   Arithmetic properties of mirror map and quantum coupling   Comm. Math. Phys.   176   1   (1996)   163-191   14J28, 11F30, 14D05, 14H52, 14J32, 14N10
  • Chung, F. R. K.;Yau, S.-T.   A Harnack inequality for homogeneous graphs and subgraphs   Comm. Anal. Geom.   2   4   (1994)   627-640   05C50, 60J10
  • Chung, F. R. K.;Yau, S.-T.   Eigenvalues of graphs and Sobolev inequalities   Combin. Probab. Comput.   4   1   (1995)   11-25   58G99, 05C50, 58G25
  • Li, Jun;Yau, Shing-Tung;Zheng, Fangyang   On projectively flat Hermitian manifolds   Comm. Anal. Geom.   2   1   (1994)   103-109   32L07, 32J15, 53C55
  • Yau, Shing-Tung   On the Harnack inequalities of partial differential equations   Comm. Anal. Geom.   2   3   (1994)   431-450   58G30, 35B45, 35J60, 35K55, 53C21
  • Hosono, S.;Klemm, A.;Theisen, S.;Yau, S.-T.   Mirror symmetry, mirror map and applications to complete intersection Calabi-Yau spaces   Nuclear Phys. B   433   3   (1995)   501-552   32G81, 14J32, 32G20, 32J81, 81T30
  • Hosono, S.;Klemm, A.;Theisen, S.;Yau, S.-T.   Mirror symmetry, mirror map and applications to Calabi-Yau hypersurfaces   Comm. Math. Phys.   167   2   (1995)   301-350   32G81, 14J32, 14M25, 32G20, 32J81
  • Bourguignon, Jean-Pierre;Li, Peter; Yau, Shing-Tung   Upper bound for the first eigenvalue of algebraic submanifolds   Comm. Math. Helv.   69   2   (1994)   199-207   58G25, 53C55
  • Jost, J?rgen;Yau, Shing-Tung   "Correction to: ""A nonlinear elliptic system for maps from Hermitian to Riemannian manifolds and rigidity theorems in Hermitian geometry"""   Acta Math.   173   2   (1994)   307   58E20, 53C55, 57R55, 58G30
  • Yau, Shing-Tung   A splitting theorem and an algebraic geometric characterization of locally Hermitian symmetric spaces   Comm. Anal. Geom.   1   3-4   (1993)   473-486   32L07, 32C17, 53C07, 53C55
  • Jost, J?rgen;Yau, Shing-Tung   Harmonic mappings and algebraic varieties over function fields   Amer. J. Math.   115   6   (1993)   1197-1227   32L05, 14H15, 32G20, 58E20
  • H?bsch, Tristan;Yau, Shing-Tung   An ${rm SL}(2,C)$ action on chiral rings and the mirror map   Modern Phys. Lett. A   7   35   (1992)   3277-3289   32J17, 14J30, 32G81, 32J81, 81T40
  • Yau, S.-T.;Zheng, F.   On a borderline class of non-positively curved compact K?hler manifolds   Math. Z.   212   4   (1993)   587-599   53C55, 32J27, 53C21, 58D17
  • Cao, Huai Dong;Yau, Shing-Tung   Gradient estimates, Harnack inequalities and estimates for heat kernels of the sum of squares of vector fields   Math. Z.   211   3   (1992)   485-504   58G03, 35K05, 58G11
  • Jost, J?rgen;Yau, Shing-Tung   A nonlinear elliptic system for maps from Hermitian to Riemannian manifolds and rigidity theorems in Hermitian geometry   Acta Math.   170   2   (1993)   221-254   58E20, 53C55, 57R55, 58G30
  • Smoller, J. A.;Wasserman, A. G.;Yau, S.-T.   Existence of black hole solutions for the Einstein-Yang/Mills equations   Comm. Math. Phys.   154   2   (1993)   377-401   58E15, 53C07, 81T13, 83C57
  • Yau, Shing-Tung;Lu, Ya Yan   Reducing the symmetric matrix eigenvalue problem to matrix multiplications   SIAM J. Sci. Comput.   14   1   (1993)   121-136   65F15, 65N25, 65Y20
  • Meeks, William H., III;Yau, Shing-Tung   The topological uniqueness of complete minimal surfaces of finite topological type   Topology   31   2   (1992)   305-316   57R52, 53A10
  • Yau, Shing-Tung;Gao, Yang   Obstacle problem for von K?rm?n equations   Adv. In Appl. Math.   13   2   (1992)   123-141   73K10, 35R35, 73G05, 73V25
  • Smoller, Joel A.;Wasserman, Arthur G.;Yau, S.-T.;McLeod, J. B.   Smooth static solutions of the Einstein/Yang-Mills equations   Comm. Math. Phys.   143   1   (1991)   115-147   58E15, 53C80, 58G30, 81T13, 83C15
  • Smoller, J.;Wasserman, A.;Yau, S. T.;McLeod, B.   Smooth static solutions of the Einstein-Yang/Mills equations   Bull. Amer. Math. Soc. (N.S.)   27   2   (1992)   239-242   58E10, 53C80, 58G30, 81T13, 83C15
  • Greene, B. R.;Roan, S.-S.;Yau, S.-T.   Geometric singularities and spectra of Landau-Ginzburg models   Comm. Math. Phys.   142   2   (1991)   245-259   32J81, 14J30, 81T30, 81T40
  • Tian, Gang;Yau, Shing-Tung   Complete K?hler manifolds with zero Ricci curvature. II   Invent. Math.   106   1   (1991)   27-60   32C17, 32F07, 53C21, 53C55
  • Lu, Ya Yan;Yau, Shing-Tung   Eigenvalues of the Laplacian through boundary integral equations   SIAM J. Matrix Anal. Appl.   12   3   (1991)   597-609   65N25, 65R20
  • Yau, S.-T.;Zheng, F.   Negatively $frac14$-pinched Riemannian metric on a compact K?hler manifold   Invent. Math.   103   3   (1991)   527-535   53C20, 53C55, 58E20
  • Lu, Steven Shin-Yi;Yau, S.-T.   Holomorphic curves in surfaces of general type   Proc. Nat. Acad. Sci. U.S.A.   87   1   (1990)   80-82   32H20, 14J29
  • Greene, Brian R.;Shapere, Alfred;Vafa, Cumrun;Yau, Shing-Tung   Stringy cosmic strings and noncompact Calabi-Yau manifolds   Nuclear Phys. B   337   1   (1990)   1-36   83E30, 53C55, 81T30
  • Li, Peter;Yau, Shing-Tung   Curvature and holomorphic mappings of complete K?hler manifolds   Compositio Math.   73   2   (1990)   125-144   32C17, 53C55
  • Li, J.;Yau, S.-T.;Zheng, F.   A simple proof of Bogomolov's theorem on class ${rm VII}sb 0$ surfaces with $bsb 2=0$   Illinois J. Math.   34   2   (1990)   217-220   32J15, 53C07
  • Tian, G.;Yau, Shing-Tung   Complete K?hler manifolds with zero Ricci curvature. I   J. Amer. Math. Soc.   3   3   (1990)   579-609   53C55, 32C10, 53C25
  • Uhlenbeck, K.;Yau, S.-T.   "A note on our previous paper: ""On the existence of Hermitian-Yang-Mills connections in stable vector bundles"""   Comm. Pure Appl. Math.   42   5   (1989)   703-707   58E15, 32L15, 53C05, 58G05
  • Hatfield, B.;Yau, S.-T.   An exchange symmetry expansion for the $2$-point correlation function of the nonlinear Schr?dinger model   Nuclear Phys. B   305   1   (1988)   16-32   82A15, 81E13
  • Schoen, R.;Yau, S.-T.   Conformally flat manifolds, Kleinian groups and scalar curvature   Invent. Math.   92   1   (1988)   47-71   58G30, 30F40, 53C25, 57R19
  • Roan, Shi-Shyr;Yau, Shing-Tung   On Ricci flat $3$-fold   Acta Math. Sinica (N.S.)   3   3   (1987)   256-288   53C25, 14J30, 32J25, 32M99, 53C55, 83E30
  • Jost, J.;Yau, S.-T.   On the rigidity of certain discrete groups and algebraic varieties   Math. Ann.   278   1-4   (1987)   481-496   22E40, 32G15, 32M15
  • Tian, Gang;Yau, Shing-Tung   K?hler-Einstein metrics on complex surfaces with $Csb 1>0$   Comm. Math. Phys.   112   1   (1987)   175-203   32J15, 32C10, 53C55
  • Uhlenbeck, K.;Yau, S.-T.   On the existence of Hermitian-Yang-Mills connections in stable vector bundles   Comm. Pure Appl. Math.   39   S. Suppl.   (1986)   S257-S293   58G05, 32L15, 53C05, 58E15
  • Yau, Shing-Tung   Nonlinear analysis in geometry   Enseign. Math. (2)   33   1-2   (1987)   109-158   58-02, 58G30
  • Yau, Shing-Tung   A survey on the interaction between mathematical physics and geometry   Internat. J. Modern Phys. A   1   4   (1986)   881-886   00A69, 01A65, 53C80, 58-02, 81-02
  • Jost, J.;Yau, S.-T.   The strong rigidity of locally symmetric complex manifolds of rank one and finite volume   Math. Ann.   275   2   (1986)   291-304   32M15, 22E40, 32G05, 53C55, 58E20
  • Cheng, Shiu Yuen;Yau, Shing-Tung   Complete affine hypersurfaces. I. The completeness of affine metrics   Comm. Pure Appl. Math.   39   6   (1986)   839-866   53C40, 53A15
  • Gao, L. Zhiyong;Yau, S.-T.   The existence of negatively Ricci curved metrics on three-manifolds   Invent. Math.   85   3   (1986)   637-652   53C20
  • Singer, I. M.;Wong, Bun;Yau, Shing-Tung;Yau, Stephen S.-T.   An estimate of the gap of the first two eigenvalues in the Schr?dinger operator   Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4)   12   2   (1985)   319-333   35P15, 35J10, 58G25
  • Li, Peter;Yau, Shing-Tung   On the parabolic kernel of the Schr?dinger operator   Acta Math.   156   3-4   (1986)   153-201   58G11, 35J10
  • Jost, J?rgen;Yau, Shing-Tung   A strong rigidity theorem for a certain class of compact complex analytic surfaces   Math. Ann.   271   1   (1985)   143-152   32G13, 22E40, 53C55
  • Li, Peter;Schoen, Richard;Yau, Shing-Tung   On the isoperimetric inequality for minimal surfaces   Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4)   11   2   (1984)   237-244   53A10, 49F10, 52A40
  • Cheng, Shiu Yuen;Li, Peter;Yau, Shing-Tung   Heat equations on minimal submanifolds and their applications   Amer. J. Math.   106   5   (1984)   1033-1065   58G11, 53C42
  • Schoen, Richard;Yau, S. T.   The existence of a black hole due to condensation of matter   Comm. Math. Phys.   90   4   (1983)   575-579   83C05, 53C80, 58G25
  • Li, Peter;Yau, Shing Tung   On the Schr?dinger equation and the eigenvalue problem   Comm. Math. Phys.   88   3   (1983)   309-318   58G25, 35P99, 58G05, 81C05
  • Meeks, William H., III;Yau, Shing Tung   The classical Plateau problem and the topology of three-dimensional manifolds   Topology   21   4   (1982)   409-442   53A10, 57M35, 57N10, 58E12
  • Mok, Ngaiming;Siu, Yum Tong;Yau, Shing Tung   The Poincar?-Lelong equation on complete K?hler manifolds   Compositio Math.   44   1-3   (1981)   183-218   32C10, 32F99, 35J99, 53C55
  • Meeks, William, III;Simon, Leon;Yau, Shing Tung   Embedded minimal surfaces, exotic spheres, and manifolds with positive Ricci curvature   Ann. of Math. (2)   116   3   (1982)   621-659   53C42, 49F10, 53A10
  • Li, Peter;Yau, Shing Tung   A new conformal invariant and its applications to the Willmore conjecture and the first eigenvalue of compact surfaces   Invent. Math.   69   2   (1982)   269-291   53C40, 53C21, 58G25
  • Jost, J?rgen;Yau, Shing Tung   Harmonic mappings and K?hler manifolds   Math. Ann.   262   2   (1983)   145-166   58E20, 53C55, 58H15
  • Freedman, Michael;Yau, Shing Tung   Homotopically trivial symmetries of Haken manifolds are toral   Topology   22   2   (1983)   179-189   57N10, 57S17
  • Schoen, Richard;Yau, Shing Tung   "Corrections to: ""Compact group actions and the topology of manifolds with nonpositive curvature"""   Topology   21   4   (1982)   483   53C20, 57R99, 57S15
  • Meeks, William W., III;Yau, Shing Tung   The existence of embedded minimal surfaces and the problem of uniqueness   Math. Z.   179   2   (1982)   151-168   53C42, 49F10, 53A10, 58E12
  • Schoen, Richard;Yau, Shing Tung   Proof of the positive mass theorem. II   Comm. Math. Phys.   79   2   (1981)   231-260   83C99, 35J60, 53A10, 53C50, 58G40, 83C05
  • Yau, Shing Tung   "Erratum: ""Some function-theoretic properties of complete Riemannian manifold and their applications to geometry"""   Indiana Univ. Math. J.   31   4   (1982)   607   53C20
  • Schoen, Richard;Yau, Shing Tung   Proof that the Bondi mass is positive   Phys. Rev. Lett.   48   6   (1982)   369-371   83C30, 58E20
  • Meeks, William H., III;Yau, Shing Tung   Topology of three-dimensional manifolds and the embedding problems in minimal surface theory   Ann. of Math. (2)   112   3   (1980)   441-484   53C42, 49F10, 57M35
  • Cheng, Siu Yuen;Li, Peter;Yau, Shing Tung   On the upper estimate of the heat kernel of a complete Riemannian manifold   Amer. J. Math.   103   5   (1981)   1021-1063   58G25, 58G11
  • Meeks, William H., III;Yau, Shing Tung   The equivariant Dehn's lemma and loop theorem   Comment. Math. Helv.   56   2   (1981)   225-239   57M35, 53A10, 53C42
  • Schoen, Richard;Yau, Shing Tung   The energy and the linear momentum of space-times in general relativity   Comm. Math. Phys.   79   1   (1981)   47-51   83C99, 53C55, 58E20, 83C30
  • Cheeger, Jeff;Yau, Shing Tung   A lower bound for the heat kernel   Comm. Pure Appl. Math.   34   4   (1981)   465-480   58G11, 35K05, 58G20
  • Cheng, Shiu Yuen;Yau, Shing Tung   On the existence of a complete K?hler metric on noncompact complex manifolds and the regularity of Fefferman's equation   Comm. Pure Appl. Math.   33   4   (1980)   507-544   53C55, 32F15, 53C25, 58G20
  • Yang, Paul C.;Yau, Shing Tung   Eigenvalues of the Laplacian of compact Riemann surfaces and minimal submanifolds   Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4)   7   1   (1980)   55-63   58G25, 49G10, 53C20
  • Schoen, R.;Yau, Shing Tung   Existence of incompressible minimal surfaces and the topology of three-dimensional manifolds with nonnegative scalar curvature   Ann. of Math. (2)   110   1   (1979)   127-142   58E12, 49F10, 53C42
  • Siu, Yum Tong;Yau, Shing Tung   Compact K?hler manifolds of positive bisectional curvature   Invent. Math.   59   2   (1980)   189-204   58E20, 53C55
  • Yau, Shing Tung   On the Ricci curvature of a compact K?hler manifold and the complex Monge-Amp?re equation. I   Comm. Pure Appl. Math.   31   3   (1978)   339-411   53C55, 32C10, 35J60
  • Schoen, Richard;Yau, Shing Tung   Positivity of the total mass of a general space-time   Phys. Rev. Lett.   43   20   (1979)   1457-1459   58D25, 58E20, 83C40
  • Yau, Shing Tung   On the heat kernel of a complete Riemannian manifold   J. Math. Pures Appl. (9)   57   2   (1978)   191-201   58G11, 58G32, 60J35
  • Schoen, Richard;Yau, Shing Tung   Compact group actions and the topology of manifolds with nonpositive curvature   Topology   18   4   (1979)   361-380   53C20, 58E20
  • Schoen, Richard;Yau, Shing Tung   Complete manifolds with nonnegative scalar curvature and the positive action conjecture in general relativity   Proc. Nat. Acad. Sci. U.S.A.   76   3   (1979)   1024-1025   58D30, 53C50, 83C99
  • Schoen, R.;Yau, S. T.   On the structure of manifolds with positive scalar curvature   Manuscripta Math.   28   1-3   (1979)   159-183   53C20, 58E20, 83C99
  • Schoen, Richard;Yau, Shing Tung   On the proof of the positive mass conjecture in general relativity   Comm. Math. Phys.   65   1   (1979)   45-76   83C99, 53C20, 58E20
  • Siu, Yum Tong;Yau, Shing Tung   "Errata to the paper: ""Complete K?hler manifolds with nonpositive curvature of faster than quadratic decay"""   Ann. of Math. (2)   109   3   (1979)   621-623   32C10, 53C55, 58E20
  • Schoen, Richard;Yau, Shing Tung   Incompressible minimal surfaces, three-dimensional manifolds with nonnegative scalar curvature, and the positive mass conjecture in general relativity   Proc. Nat. Acad. Sci. U.S.A.   75   6   (1978)   2567   53C20, 58E15, 83C99
  • Yau, Shing Tung   A general Schwarz lemma for K?hler manifolds   Amer. J. Math.   100   1   (1978)   197-203   32H25, 53C55
  • Schoen, Richard;Yau, Shing Tung   On univalent harmonic maps between surfaces   Invent. Math.   44   3   (1978)   265-278   58E15
  • Yau, Shing Tung   Calabi's conjecture and some new results in algebraic geometry   Proc. Nat. Acad. Sci. U.S.A.   74   5   (1977)   1798-1799   53C55, 14M20, 32C10
  • Yau, Shing Tung   Remarks on the group of isometries of a Riemannian manifold   Topology   16   3   (1977)   239-247   57E20, 57E10
  • Schoen, Richard;Yau, Shing Tung   Harmonic maps and the topology of stable hypersurfaces and manifolds with non-negative Ricci curvature   Comment. Math. Helv.   51   3   (1976)   333-341   58E99, 53C20
  • Cheng, Shiu Yuen;Yau, Shing Tung   On the regularity of the Monge-Amp?re equation ${rm det}(partial sp{2}u/partial xsb{i}partial sxsb{j})=F(x,u)$   Comm. Pure Appl. Math.   30   1   (1977)   41-68   32F10, 53C45, 35D10
  • Siu, Yum Tong;Yau, Shing Tung   Complete K?hler manifolds with nonpositive curvature of faster than quadratic decay   Ann. of Math. (2)   105   2   (1977)   225-264   32C10, 32F99
  • Cheng, Shiu Yuen;Yau, Shing Tung   Maximal space-like hypersurfaces in the Lorentz-Minkowski spaces   Ann. of Math. (2)   104   3   (1976)   407-419   53C50
  • Cheng, Shiu Yuen;Yau, Shing Tung   Hypersurfaces with constant scalar curvature   Math. Ann.   225   3   (1977)   195-204   53C40
  • Yau, Shing Tung   Harmonic functions on complete Riemannian manifolds   Comm. Pure Appl. Math.   28     (1975)   201-228   53C20, 31C05
  • Cheng, Shiu Yuen;Yau, Shing Tung   On the regularity of the solution of the $n$-dimensional Minkowski problem   Comm. Pure Appl. Math.   29   5   (1976)   495-516   53C45, 35J60
  • Schoen, R.;Simon, L.;Yau, S. T.   Curvature estimates for minimal hypersurfaces   Acta Math.   134   3-4   (1975)   275-288   53C40, 49F10
  • Yau, Shing Tung   Some function-theoretic properties of complete Riemannian manifold and their applications to geometry   Indiana Univ. Math. J.   25   7   (1976)   659-670   32F05, 31C05, 53C55
  • Siu, Yum Tong;Yau, Shing Tung   On the structure of complete simply-connected K?hler manifolds with nonpositive curvature   Proc. Nat. Acad. Sci. U.S.A.   73   4   (1976)   1008   32C10
  • Yau, Shing Tung   Isoperimetric constants and the first eigenvalue of a compact Riemannian manifold   Ann. Sci. ?cole Norm. Sup. (4)   8   4   (1975)   487-507   53C20, 58G99
  • Yau, Shing Tung   Parallelizable manifolds without complex structure   Topology   15   1   (1976)   51-53   32J15
  • Cheng, S. Y.;Yau, S. T.   Differential equations on Riemannian manifolds and their geometric applications   Comm. Pure Appl. Math.   28   3   (1975)   333-354   53C20, 58G99
  • Yau, Shing Tung   On the curvature of compact Hermitian manifolds   Invent. Math.   25     (1974)   213-239   32C10, 53C55
  • Yau, Shing Tung   Submanifolds with constant mean curvature. I, II   Amer. J. Math.   96     (1974)   346-366   53C40
  • Yau, Shing Tung   Intrinsic measures of compact complex manifolds   Math. Ann.   212     (1975)   317-329   32C10, 32H20, 32J25
  • Lawson, H. Blaine, Jr.;Yau, Shing Tung   Scalar curvature, non-abelian group actions, and the degree of symmetry of exotic spheres   Comment. Math. Helv.   49     (1974)   232-244   47E15, 53C20, 58G05
  • Yau, Shing Tung   Curvature preserving diffeomorphisms   Ann. of Math. (2)   100     (1974)   121-130   53C20
  • Yau, Shing Tung   Non-existence of continuous convex functions on certain Riemannian manifolds   Math. Ann.   207     (1974)   269-270   53C20
  • Yau, S. T.   Remarks on conformal transformations   J. Differential Geometry   8     (1973)   369-381   53C20
  • Lawson, H. Blaine, Jr.;Yau, Shing Tung   Compact manifolds of nonpositive curvature   J. Differential Geometry   7     (1972)   211-228   53C20
  • Bourguignon, Jean-Pierre;Yau, Shing Tung   Sur les m?triques riemanniennes ? courbure de Ricci nulle sur le quotient d'une surface ${rm K}$ $3$   C. R. Acad. Sci. Paris S?r. A-B   277     (1973)   A1175-A1177   53C20
  • Yau, Shing Tung   Compact flat Riemannian manifolds   J. Differential Geometry   6     (1971-1972)   395-402   53C20
  • Yau, Shing-tung   On the fundamental group of compact manifolds of non-positive curvature   Ann. of Math. (2)   93     (1971)   579-585   53.72
  • Yau, Shing-tung   On the fundamental group of manifolds of non-positive curvature   Proc. Nat. Acad. Sci. U.S.A.   67     (1970)   509   53.72
  • Kashiwara, Masaki;Kawai, Takahiro;Yau, Shing-Tung   Preface. Mikio Sato: a great Japanese mathematician of the twentieth century   Asian J. Math.   2   4   (1998)   vii-x   01A70