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arXiv · 1804.00018

Uniqueness of convex ancient solutions to mean curvature flow in higher dimensions

S. Brendle·K. Choi
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Abstract

In this paper, we consider noncompact ancient solutions to the mean curvature flow in $\mathbb{R}^{n+1}$ ($n \geq 3$) which are strictly convex, uniformly two-convex, and noncollapsed. We prove that such an ancient solution is a rotationally symmetric translating soliton.

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S. Brendle, K. Choi. 2018-03-30. Uniqueness of convex ancient solutions to mean curvature flow in higher dimensions. https://doi.org/10.1007/s00222-019-00859-4

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