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

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

References

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