A sharp convergence theorem for the mean curvature flow in spheres I
Differential Geometry
2021-03-16 v1
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.
Cite
@article{arxiv.2103.07702,
title = {A sharp convergence theorem for the mean curvature flow in spheres I},
author = {Dong Pu},
journal= {arXiv preprint arXiv:2103.07702},
year = {2021}
}
Comments
21 pages