学术报告
Global Kaehler-Ricci flow on complete noncompact Kaehler manifolds
题目:Global Kaehler-Ricci flow on complete noncompact Kaehler manifolds
报告人:马力 教授(河南师范大学)
摘要:In this talk, we study the global K?hler-Ricci flow on a complete non-compact K?hler manifold. We first review some known facts. Then we give an outline of prove the following result. Assume that (M, g0) is a complete noncompact Kaehler manifold such that there is a C1 bounded potential function f of the Ricci tensor. Assume that the L2 Sobolev inequality holds true on initial manifold (M,g0). Then the Kaehler-Ricci flow with the initial metric g0 either blows up at finite time or infinite time to Ricci-flat metric or exists globally with Ricci-flat limit at infinite time. Related results are also discussed.
时间:7月3日(周五)下午16:00-17:00
地点:首都师大北一区文科楼 708 教室
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