Immortal homogeneous Ricci flows

• 成果类型: Article
• 署名作者: Boehm, Christoph; Lafuente, Ramiro A.
• 署名单位: University of Munster
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-017-0771-z
• 发表日期: 2018
• 页码: 461-529
• 关键词: long-time behavior; moment map; alekseevskii conjecture; einstein solvmanifolds; space-forms; lie-groups; CURVATURE; solitons; MANIFOLDS; METRICS

摘要

We show that for an immortal homogeneous Ricci flow solution any sequence of parabolic blow-downs subconverges to a homogeneous expanding Ricci soliton. This is established by constructing a new Lyapunov function based on curvature estimates which come from real geometric invariant theory.