Mean curvature 1 surfaces in hyperbolic 3-space with low total curvature II

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In this work, complete constant mean curvature 1 (CMC-1) surfaces in hyperbolic 3-space with total absolute curvature at most 4 pi are classified. This classification suggests that the Cohn-Vossen inequality can be sharpened for surfaces with odd numbers of ends, and a proof of this is given.
19 pages, 5 figures

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Differential Geometry, 53A10; 53A35; 53A42

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http://salesiana.dossiersoluciones.com/handle/123456789/159742

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0102035
 http://arxiv.org/abs/math/0102035
 Tohoku Math. J. 55 (2003), 375-395

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arXiv