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.
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页码：2679 / 2688
页数：10
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