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arXiv · 1608.02314

Hausdorff Stability of the Round Two-Sphere Under Small Perturbations of the Entropy

Jacob Bernstein·Lu Wang
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Abstract

We show that if a closed surface in $\mathbb{R}^3$ has entropy near to that of the unit two-sphere, then the surface is close to a round two-sphere in the Hausdorff distance.

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Jacob Bernstein, Lu Wang. 2016-08-08. Hausdorff Stability of the Round Two-Sphere Under Small Perturbations of the Entropy. https://arxiv.org/abs/1608.02314

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