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arXiv · 1910.07253

Guan-Li type mean curvature flow for free boundary hypersurfaces in a ball

Guofang Wang·Chao Xia
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Abstract

In this paper we introduce a Guan-Li type volume preserving mean curvature flow for free boundary hypersurfaces in a ball. We give a concept of star-shaped free boundary hypersurfaces in a ball and show that the Guan-Li type mean curvature flow has long time existence and converges to a free boundary spherical cap, provided the initial data is star-shaped.

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Guofang Wang, Chao Xia. 2019-10-16. Guan-Li type mean curvature flow for free boundary hypersurfaces in a ball. https://arxiv.org/abs/1910.07253

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