Work

On the existence and uniqueness of ancient rescaled mean curvature flows

Year: 2026

Type: article

Abstract: 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 coming out of cones that are not self-similar. We also show a strong uniqueness theorem when the cone is generic and use it to classify mean curvature flows coming out of generic cones of small entropy in low dimensions.

Source: Communications in Analysis and Geometry

DOI: 10.4310/cag.260928092010

Author: Letian Chen

Institution: Zhejiang Normal University

Language: English

Topic: Geometric Analysis and Curvature Flows

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4312107639

FWCI: 6.282

Cites: 3

Cited by: 5

Related to: 10