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A sharp convergence theorem for the mean curvature flow in spheres I

Published 13 Mar 2021 in math.DG | (2103.07702v1)

Abstract: In this paper, we prove a sharp convergence theorem for the mean curvature flow of arbitrary codimension in spheres which improves Baker's convergence theorem. In particular, we obtain a new differentiable sphere theorem for submanifolds in spheres.

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