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Information Center for Mathematical Science

논문검색

Information Center for Mathematical Science

논문검색

Canadian Journal of Mathematics
( Vol. 51 NO.3 / (1999))
Exterior Univalent Harmonic Mappings with Finite Blaschke Dilatations
D. Bshouty, W. Hengartner,
Pages. 470-487
Abstract
Contents 1. Introduction
2. Boundary behaviour of harmonic maps on an interval where $|alpha|=1$, summary
3. A geometric characterization of the image domain
4. The inverse problem
5. Special cases
5.1. The case $a(z)=1/z$
5.2. The case $a(z)=frac{1}{z};frac{1-pz}{z-p},;|p|<1$
5.3. The case $a(z)=frac{1}{z^2}(frac{1-zp}{z-p})^2,;|p|<1$
6. An application to minimal surfaces
6.1. Minimal surfaces with univalent Gauss maps onto the upper half-sphere
6.2. Minimal surfaces Gauss map images are the upper sphere covered twice
Key words harmonic mappings, minimal surfaces
Mathmatical Subject Classification 30C55, 30C62, 49Q05