WILLMORE INEQUALITY ON HYPERSURFACES IN HYPERBOLIC SPACE

被引：2

作者：

Hu, Yingxiang ^{[1
]}

机构：

[1] Tsinghua Univ, Yau Math Sci Ctr, Beijing 100086, Peoples R China

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2018年 / 146卷 / 06期

关键词：

Willmore inequality; inverse curvature flow; hyperbolic space; MEAN-CURVATURE FLOW;

D O I：

10.1090/proc/13968

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：2679 / 2688

页数：10

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