The inverse mean curvature flow in rotationally symmetric spaces

被引：28

作者：

Ding, Qi ^{[1
]}

机构：

[1] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China

来源：

CHINESE ANNALS OF MATHEMATICS SERIES B | 2011年 / 32卷 / 01期

关键词：

Asymptotic behavior; Inverse mean curvature flow; Hyperbolic space; HYPERSURFACES;

D O I：

10.1007/s11401-010-0626-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, the motion of inverse mean curvature flow which starts from a closed star-sharped hypersurface in special rotationally symmetric spaces is studied. It is proved that the flow converges to a unique geodesic sphere, i.e., every principle curvature of the hypersurfaces converges to a same constant under the flow.

引用

页码：27 / 44

页数：18

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