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

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.

21 pages

References in corpus (2)

• An Optimal Convergence Theorem for Mean Curvature Flow of Arbitrary Codimension in Hyperbolic Spaces
• New Developments in Mean Curvature Flow of Arbitrary Codimension Inspired By Yau Rigidity Theory