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

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概要

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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 4π 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.

• 東北大学の論文

著者

• Rossman Wayne

  Department Of Mathematics Faculty Of Science Kobe University

• UMEHARA Masaaki

  Department of Mathematics Graduate School of Science Osaka University

• Yamada Kotaro

  , Faculty of Mathematics, Kyushu University36

• Umehara Masaaki

  Department Mathematics Graduate School Of Science Hiroshima University

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