Round spheres are Hausdorff stable under small perturbation of entropy
Differential Geometry
2017-05-01 v1 Analysis of PDEs
Abstract
We show that if the entropy of any closed hypersurface is close to that of a round hyper-sphere, then it is close to a round sphere in Hausdorff distance. Generalizing the result of \cite{BW1} to higher dimensions.
Keywords
Cite
@article{arxiv.1704.08900,
title = {Round spheres are Hausdorff stable under small perturbation of entropy},
author = {Shengwen Wang},
journal= {arXiv preprint arXiv:1704.08900},
year = {2017}
}
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