Willmore inequality on hypersurfaces in hyperbolic space

Yingxiang Hu

doi:10.1090/proc/13968

Willmore inequality on hypersurfaces in hyperbolic space

Yingxiang Hu^*

^*Corresponding author for this work

Tsinghua University

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

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.

Original language	English
Pages (from-to)	2679-2688
Number of pages	10
Journal	Proceedings of the American Mathematical Society
Volume	146
Issue number	6
DOIs	https://doi.org/10.1090/proc/13968
State	Published - 2018
Externally published	Yes

Keywords

Hyperbolic space
Inverse curvature flow
Willmore inequality

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10.1090/proc/13968

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title = "Willmore inequality on hypersurfaces in hyperbolic space",

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.",

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note = "Publisher Copyright: {\textcopyright} 2018 Amerian Mathematial Soiety.",

year = "2018",

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KW - Hyperbolic space

KW - Inverse curvature flow

KW - Willmore inequality

UR - https://www.scopus.com/pages/publications/85044380553

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DO - 10.1090/proc/13968

M3 - 文章

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JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

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Willmore inequality on hypersurfaces in hyperbolic space

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Keywords

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