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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Willmore inequality on hypersurfaces in hyperbolic space
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by Yingxiang Hu PDF
Proc. Amer. Math. Soc. 146 (2018), 2679-2688 Request permission

Abstract:

In this article, we prove a geometric inequality for star-shaped and mean-convex hypersurfaces in hyperbolic space by inverse mean curvature flow. This inequality can be considered as a generalization of Willmore inequality for a closed surface in hyperbolic $3$-space.
References
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Additional Information
  • Yingxiang Hu
  • Affiliation: Yau Mathematical Sciences Center, Tsinghua University, Beijing 100086, People’s Republic of China
  • MR Author ID: 1110051
  • Email: huyingxiang10@163.com
  • Received by editor(s): November 27, 2016
  • Received by editor(s) in revised form: September 13, 2017
  • Published electronically: February 1, 2018
  • Communicated by: Lei Ni
  • © Copyright 2018 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 146 (2018), 2679-2688
  • MSC (2010): Primary 53C42, 53C44
  • DOI: https://doi.org/10.1090/proc/13968
  • MathSciNet review: 3778167