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

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.Comment: In this paper, we extend the result in arxiv:1711.00823 to higher dimensions, assuming uniform two-convexit