Strong Rigidity of Closed Minimal Hypersurfaces in Euclidean Spheres

Xu Han

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arXiv · 2308.02179

Strong Rigidity of Closed Minimal Hypersurfaces in Euclidean Spheres

Xu Han

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Abstract

Let M be a closed embedded minimal hypersurface in a Euclidean sphere of dimension n+1, we prove that it is strongly rigid. As applications we confirm the conjecture proposed by Choi and Schoen in [3] and the Chern conjecture for n less than 7.

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Xu Han. 2023-08-04. Strong Rigidity of Closed Minimal Hypersurfaces in Euclidean Spheres. https://arxiv.org/abs/2308.02179

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