Mean curvature 1 surfaces in hyperbolic 3-space with low total curvature II
Differential Geometry
2008-04-27 v1
Abstract
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.
Keywords
Cite
@article{arxiv.math/0102035,
title = {Mean curvature 1 surfaces in hyperbolic 3-space with low total curvature II},
author = {Masaaki Umehara and Wayne Rossman and Kotaro Yamada},
journal= {arXiv preprint arXiv:math/0102035},
year = {2008}
}
Comments
19 pages, 5 figures