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arXiv:1704.08900 [math.DG]AbstractReferencesReviewsResources

Round spheres are Hausdorff stable under small perturbation of entropy

Shengwen Wang

Published 2017-04-28Version 1

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.

Comments: All comments welcome!
Categories: math.DG, math.AP
Subjects: 53C44
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