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arXiv · 1911.12535

Ancient solutions to mean curvature flow for isoparametric submanifolds

Xiaobo Liu·Chuu-Lian Terng
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Abstract

Mean curvature flow for isoparametric submanifolds in Euclidean spaces and spheres was studied by the authors in [LT]. In this paper, we will show that all these solutions are ancient solutions. We also discuss rigidity of ancient mean curvature flows for hypersurfaces in spheres and its relation to the Chern's conjecture on the norm of the second fundamental forms of minimal hypersurfaces in spheres.

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Xiaobo Liu, Chuu-Lian Terng. 2019-11-28. Ancient solutions to mean curvature flow for isoparametric submanifolds. https://arxiv.org/abs/1911.12535

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