#### Volume 25, issue 5 (2021)

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

### Simon Brendle and Kyeongsu Choi

Geometry & Topology 25 (2021) 2195–2234
##### Abstract

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

##### Keywords
mean curvature flow, ancient solution
Primary: 53C44