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arXiv · 1911.05641

On the construction of closed nonconvex nonsoliton ancient mean curvature flows

Theodora Bourni·Mathew Langford·Alexander Mramor
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Abstract

We construct closed, embedded, ancient mean curvature flows in each dimension $n\ge 2$ with the topology of $S^1 \times S^{n-1}$. These examples are not mean convex and not solitons. They are constructed by analyzing perturbations of the self-shrinking doughnuts constructed by Drugan and Nguyen (or, alternatively, Angenent's self shrinking torus when $n =2$)

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Theodora Bourni, Mathew Langford, Alexander Mramor. 2019-11-13. On the construction of closed nonconvex nonsoliton ancient mean curvature flows. https://arxiv.org/abs/1911.05641

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