4 papers
math.DG2022
On the Existence and Uniqueness of Ancient Rescaled Mean Curvature Flows
Letian Chen
We show existence of ancient solutions to the rescaled mean curvature flow starting from a given asymptotically conical self-expander. These are examples of mean curvature flows co…
math.DG2022
Rotational symmetry of solutions of mean curvature flow coming out of a double cone II
Letian Chen
We show that any integral Brakke flow coming out of a rotationally symmetric double cone with entropy at most two must stay rotationally symmetric for all time, provided the flow i…
math.DG2021
Rotational symmetry of solutions of mean curvature flow coming out of a double cone
Letian Chen
We show that any smooth solution to the mean curvature flow equations coming out of a rotationally symmetric double cone is also rotationally symmetric.
math.DG2020
Rigidity and Stability of Submanifolds with Entropy Close to One
Letian Chen
We show that an -dimensional surface whose entropy is close to that of an -dimensional plane is close in Hausdorff distance to some -dimensional plane at every scale. More…