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

S. Brendle, K. Choi

Published 2018-03-30, updated 2019-01-14Version 2

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.