Rigidity and Stability of Submanifolds with Entropy Close to One

2020/03/17 by Chen, Letian
#Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2003.07480

Abstract

We show that an n-dimensional surface whose entropy is close to that of an n-dimensional plane is close in Hausdorff distance to some n-dimensional plane at every scale. Moreover we show that self-expanders of low entropy converge in the Hausdorff sense to their asymptotic cones.

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