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arXiv · 2201.11179

Rotational symmetry of solutions of mean curvature flow coming out of a double cone II

Letian Chen
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Abstract

We show that any integral Brakke flow coming out of a rotationally symmetric double cone with entropy at most two must stay rotationally symmetric for all time, provided the flow is smooth for a short time. We also show the existence of a non-self-similar flow coming out of a double cone with entropy at most two, and give an example of such a flow with a finite time singularity.

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Letian Chen. 2022-01-26. Rotational symmetry of solutions of mean curvature flow coming out of a double cone II. https://arxiv.org/abs/2201.11179

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