Mean curvature 1 surfaces in hyperbolic 3-space with low total curvature II
Masaaki Umehara, Wayne Rossman, Kotaro Yamada
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.
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