3 papers
math.DG2026
An Ancient Stacked Pancake Solution to Mean Curvature Flow
Alexander Mramor, Louis Yudowitz
We construct an embedded ancient solution to the mean curvature flow which is qualitatively given by a ``stack'' of two ancient pancakes joined by a neck. Our solution is closed, n…
math.DG2026
A classification result for eternal mean convex flows of finite total curvature type
Alexander Mramor
In this article we partially classify the space of eternal mean convex flows in of finite total curvature type, a condition implied by finite total curvature. In par…
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…