Uniqueness of compact ancient solutions to three-dimensional Ricci flow

• 成果类型: Article
• 署名作者: Brendle, Simon; Daskalopoulos, Panagiota; Sesum, Natasa
• 署名单位: Columbia University; Rutgers University System; Rutgers University New Brunswick
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-021-01054-0
• 发表日期: 2021
• 页码: 579-651
• 关键词: mean-curvature flow; CLASSIFICATION

摘要

In this paper, we study the classification of kappa-noncollapsed ancient solutions to three-dimensional Ricci flow on S-3. We prove that such a solution is either isometric to a family of shrinking round spheres, or the Type II ancient solution constructed by Perelman.