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arXiv:2103.07702 [math.DG]AbstractReferencesReviewsResources

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

Dong Pu

Published 2021-03-13Version 1

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.

Comments: 21 pages
Categories: math.DG
Subjects: 53C44
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