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arxiv: 1608.02314 · v1 · pith:UIY3GZ3Dnew · submitted 2016-08-08 · 🧮 math.DG · math.AP

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

Jacob Bernstein , Lu Wang This is my paper
classification 🧮 math.DG math.AP
keywords two-sphereentropyhausdorffroundsurfaceclosecloseddistance
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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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