Rigidity and Stability of Submanifolds with Entropy Close to One
17 Mar 2020
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Chen Letian·
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.