The rigidity theorems of self shrinkers

2011/05/25 by Ding, Qi, Xin, Y. L.
#Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1105.4962

Abstract

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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