Rigidity and Stability of Submanifolds with Entropy Close to One

17 Mar 2020 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...

PDF Abstract
No code implementations yet. Submit your code now

Categories


  • DIFFERENTIAL GEOMETRY