The extension problem of the mean curvature flow (I)

• 成果类型: Article
• 署名作者: Li, Haozhao; Wang, Bing
• 署名单位: Chinese Academy of Sciences; University of Science & Technology of China, CAS; Chinese Academy of Sciences; University of Science & Technology of China, CAS
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-019-00893-2
• 发表日期: 2019
• 页码: 721-777
• 关键词: singular set; ricci flows; hypersurfaces; 3-manifolds; SURFACES; BEHAVIOR; THEOREMS; SPACE

摘要

We show that the mean curvature blows up at the first finite singular time for a closed smooth embedded mean curvature flow IN R-3