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arXiv · 2311.15278

Ancient mean curvature flows from minimal hypersurfaces

Yongheng Han
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Abstract

For $n\geq 2$, we construct $I$-dimensional family of embedded ancient solutions to mean curvature flow arise from an unstable minimal hypersurface $\Sigma$ with finite total curvature in $\mathbb{R}^{n+1}$, where $I$ is the Morse index of the Jacobi operator on $\Sigma$.

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Yongheng Han. 2023-11-26. Ancient mean curvature flows from minimal hypersurfaces. https://doi.org/10.1007/s10711-026-01070-5

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