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

We consider noncompact ancient solutions to the mean curvature flow in Rn+1 (n >= 3) which are strictly convex, uniformly two-convex, and noncollapsed. We prove that such an ancient solution is a rotationally symmetric translating soliton.

Automated summary

The paper examines noncompact ancient solutions to mean curvature flow in high-dimensional spaces and proves that these solutions exhibit rotational symmetry.