Surfaces pinched by normal curvature for mean curvature flow in space forms

Dong Pu; Jingjing Su; Hongwei Xu

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arXiv · 2004.14258

Surfaces pinched by normal curvature for mean curvature flow in space forms

Dong Pu·Jingjing Su·Hongwei Xu

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Abstract

In this paper, we investigate the mean curvature flow of compact surfaces in $4$-dimensional space forms. We prove the convergence theorems for the mean curvature flow under certain pinching conditions involving the normal curvature, which generalise Baker-Nguyen's convergence theorem.

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Dong Pu, Jingjing Su, Hongwei Xu. 2020-04-29. Surfaces pinched by normal curvature for mean curvature flow in space forms. https://arxiv.org/abs/2004.14258

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