Round spheres are Hausdorff stable under small perturbation of entropy
classification
🧮 math.DG
math.AP
keywords
roundcloseentropyhausdorffcitecloseddimensionsdistance
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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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