Strong Rigidity of Closed Minimal Hypersurfaces in Euclidean Spheres

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.

arXiv commentUnfixable error found in Section 3