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Information Center for Mathematical Science

논문검색

Information Center for Mathematical Science

논문검색

Journal of the American Mathematical Society
( Vol. 5 NO.2 / (1992))
Paradoxical Decompositions 2-Generator Kleinian Groups, and Volumes of Hyperbolic 3-Manifolds
Marc Culler , Peter B. Shalen,
Pages. 231-288
Abstract
Contents 0. Introduction 1. Hyperbolic space and discrete groups 2. The poisson kernel 3. Conformal Densities 4. The Patterson construction 5. The paradoxical
decomposition 6. Bonahon surfaces and superharmonic functions 7. Girded surfaces
and girded 3-manifolds 8. Girded groups are dense 9. Estimates for geometrically
finite groups 10. Applications to closed hyperbolic manifolds
Key words
Mathmatical Subject Classification 57M50, 57N10