Let M be a closed embedded minimal hypersurface in a Euclidean sphere S 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 6.
Let M be a closed embedded minimal hypersurface in a Euclidean sphere S 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 6.
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