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arxiv: 1105.4962 · v1 · pith:BECQ52NInew · submitted 2011-05-25 · 🧮 math.DG

The rigidity theorems of self shrinkers

classification 🧮 math.DG
keywords rigidityconditionsself-shrinkersundercertaindevelopedeitherform
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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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