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arXiv · 1704.08900

Round spheres are Hausdorff stable under small perturbation of entropy

Shengwen Wang
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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.

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Shengwen Wang. 2017-04-28. Round spheres are Hausdorff stable under small perturbation of entropy. https://arxiv.org/abs/1704.08900

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