Rigidity and Stability of Submanifolds with Entropy Close to One
Differential Geometry
2020-03-18 v1
Abstract
We show that an -dimensional surface whose entropy is close to that of an -dimensional plane is close in Hausdorff distance to some -dimensional plane at every scale. Moreover we show that self-expanders of low entropy converge in the Hausdorff sense to their asymptotic cones.
Cite
@article{arxiv.2003.07480,
title = {Rigidity and Stability of Submanifolds with Entropy Close to One},
author = {Letian Chen},
journal= {arXiv preprint arXiv:2003.07480},
year = {2020}
}
Comments
13 pages