2000/10/02 by Xiuxiong Chen, Gang Tian · 1 citation
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Curvature #Einstein #Geometric Analysis and Curvature Flows #Geometry #Geometry and complex manifolds #Kähler manifold #Manifold (fluid mechanics) #Mathematical analysis #Mathematical physics #Mathematics #Physics #Ricci curvature #Ricci flow #Scalar curvature #math.DG
paper · pdf · doi:10.1016/s0764-4442(00)01719-5
published in Comptes Rendus de l Académie des Sciences - Series I - Mathematics 332(3), 245-248 (Elsevier BV) · 5 pages
arxiv created 2000/10/02 · openalex publication_date 2001/02/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
In this paper, we announce the following results: Let M be a Kaehler-Einstein manifold with positive scalar curvature. If the initial metric has nonnegative bisectional curvature and positive at least at one point, then the Kähler-Ricci flow converges exponentially fast to a Kaehler-Einstein metric with constant bisectional curvature.