3 papers
math.DG2025
On the long-time limit of the mean curvature flow in closed manifolds
Alexander Mramor, Ao Sun
In this article we show that generally almost regular flows, introduced by Bamler and Kleiner, in closed 3-manifolds will either go extinct in finite time or flow to a collection o…
math.DG2025
Regularity of cylindrical singular sets of mean curvature flow
Ao Sun, Zhihan Wang, Jinxin Xue
In this paper, we study the -cylindrical singular set of mean curvature flow in for each . We prove that they are locally contained in a -d…
math.DG2025
Passing through nondegenerate singularities in mean curvature flows
Ao Sun, Zhihan Wang, Jinxin Xue
In this paper, we study the properties of nondegenerate cylindrical singularities of mean curvature flow. We prove they are isolated in spacetime and provide a complete description…