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
收藏
页码：291 / 296
页数：6
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