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

Dong Pu

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arXiv · 2103.07702

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

Dong Pu

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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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Dong Pu. 2021-03-13. A sharp convergence theorem for the mean curvature flow in spheres I. https://arxiv.org/abs/2103.07702

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