The rigidity theorems of self shrinkers

Details The rigidity theorems of self shrinkers The rigidity theorems of self shrinkers

2011-05-25

arxiv.org/abs/1105.4962v1

Mathematics

Differential Geometry

21

Scientific paper

By using certain idea developed in minimal submanifold theory we study
rigidity problem for self-shrinkers in the present paper. We prove rigidity
results for squared norm of the second fundamental form of self-shrinkers,
either under point-wise conditions or under integral conditions.

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