Uniqueness of two-convex closed ancient solutions to the mean curvature flow

• 成果类型: Article
• 署名作者: Angenent, Sigurd; Daskalopoulos, Panagiota; Sesum, Natasa
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2020.192.2.2
• 发表日期: 2020
• 页码: 353-436
• 关键词: Classification

摘要

In this paper we consider the classification of closed non-collapsed ancient solutions to the Mean Curvature Flow (n >= 2) that are uniformly two-convex. We prove that they are either contracting spheres or they must coincide up to translations and scaling with the rotationally symmetric closed ancient non-collapsed solution first constructed by Brian White, and later by Robert Haslhofer and Or Hershkovits.