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2021 Uniqueness of convex ancient solutions to mean curvature flow in higher dimensions
Simon Brendle, Kyeongsu Choi
Geom. Topol. 25(5): 2195-2234 (2021). DOI: 10.2140/gt.2021.25.2195

Abstract

We consider noncompact ancient solutions to the mean curvature flow in n+1 (n3) 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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Simon Brendle. Kyeongsu Choi. "Uniqueness of convex ancient solutions to mean curvature flow in higher dimensions." Geom. Topol. 25 (5) 2195 - 2234, 2021. https://doi.org/10.2140/gt.2021.25.2195

Information

Received: 16 December 2018; Revised: 11 February 2020; Accepted: 17 July 2020; Published: 2021
First available in Project Euclid: 12 October 2021

Digital Object Identifier: 10.2140/gt.2021.25.2195

Subjects:
Primary: 53C44

Rights: Copyright © 2021 Mathematical Sciences Publishers

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Vol.25 • No. 5 • 2021
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