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