Symmetric mean curvature flow on the n-sphere

Jingwen Chen

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arXiv · 2304.12282

Symmetric mean curvature flow on the n-sphere

Jingwen Chen

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Abstract

In this article, we generalize our previous results joint with Pedro Gaspar to higher dimensions, prove the existence of (infinitely many) eternal weak mean curvature flows in $S^{n+1}$ (for all $n \geq 2$) connecting a Clifford hypersurface $S^1(\sqrt{\frac{1}{n}}) \times S^{n-1} (\sqrt{\frac{n-1}{n}})$ to the equatorial spheres $S^n$.

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Jingwen Chen. 2023-04-24. Symmetric mean curvature flow on the n-sphere. https://arxiv.org/abs/2304.12282

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