Mean curvature flow of arbitrary codimension in spheres and sharp differentiable sphere theorem

Li Lei; Hongwei Xu

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arXiv · 1506.06371

Mean curvature flow of arbitrary codimension in spheres and sharp differentiable sphere theorem

Li Lei·Hongwei Xu

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Abstract

In this paper, we investigate Liu-Xu-Ye-Zhao's conjecture [30] and prove a sharp convergence theorem for the mean curvature flow of arbitrary codimension in spheres which improves the convergence theorem of Baker [2] as well as the differentiable sphere theorems of Gu-Xu-Zhao [16, 50, 52].

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BibTeX RIS

Li Lei, Hongwei Xu. 2021-03-16. Mean curvature flow of arbitrary codimension in spheres and sharp differentiable sphere theorem. https://arxiv.org/abs/1506.06371

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