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| A Rigidity Result of Spacelike Self-Shrinkers in Pseudo-Euclidean Spaces* |
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Citation： |
Hongbing QIU.A Rigidity Result of Spacelike Self-Shrinkers in Pseudo-Euclidean Spaces*[J].Chinese Annals of Mathematics B,2021,42(2):291~296 |
| Page view： 478
Net amount： 401 |
Authors： |
Hongbing QIU; |
Foundation： |
National Natural Science Foundation of China (No. 11771339), the Fundamental Research Funds for the Central Universities (No. 2042019kf0198) and the Youth Talent Training Program of Wuhan University. |
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| Abstract： |
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. |
Keywords： |
Self-Shrinker, Rigidity, Omori-Yau maximum principle, Pseudo-distance |
Classification： |
53C40, 53C24 |
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