Strong Rigidity of Closed Minimal Hypersurfaces in Euclidean Spheres
Differential Geometry
2023-12-06 v4
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.
Keywords
Cite
@article{arxiv.2308.02179,
title = {Strong Rigidity of Closed Minimal Hypersurfaces in Euclidean Spheres},
author = {Xu Han},
journal= {arXiv preprint arXiv:2308.02179},
year = {2023}
}
Comments
Unfixable error found in Section 3