A Rigidity Result of Spacelike Self-Shrinkers in Pseudo-Euclidean Spaces

被引：3

作者：

Qiu, Hongbing ^{[1
,2
]}

机构：

[1] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China

[2] Wuhan Univ, Hubei Key Lab Computat Sci, Wuhan 430072, Peoples R China

来源：

CHINESE ANNALS OF MATHEMATICS SERIES B | 2021年 / 42卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Self-Shrinker; Rigidity; Omori-Yau maximum principle; Pseudo-distance;

D O I：

10.1007/s11401-021-0258-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, the author proves that the spacelike self-shrinker which is closed with respect to the Euclidean topology must be flat under a growth condition on the mean curvature by using the Omori-Yau maximum principle.

引用

页码：291 / 296

页数：6

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