题目：Ricci flow on asymptotically Euclidean manifolds.

报告人：Yu Li University of Wisconsin Madison

时间：7月20日 周三 下午2；30-4；00

地点：管研楼1218

摘要：In this talk, we prove that if an asymptotically Euclidean (AE) manifold with nonnegative scalar curvature has long time existence of Ricci flow, it converges to the Euclidean space in the strong sense. By convergence, the mass will drop to zero as time tends to infinity. Moreover, in three dimensional case, we use Ricci flow with surgery to give an independent proof of positive mass theorem. A classification of diffeomorphism types is also given for all AE 3-manifolds with nonnegative scalar curvature.

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