05-31【来米加】2204 Spectral Geometry Seminar 系列讲座之 039

发布者:石艳慈发布时间:2024-05-30浏览次数:10

报告人:来米加


单位:上海交通大学


时间:5月31日,16:00-17:00


地点:2204


Title: Hamilton's pinching condition under conformal deformation  


Abstract:Hamilton's pinching conjecture asserts that if a three dimensional manifold satisfies a Ricci pinching condition (Ric-\epsilon Rg\geq 0, for some small \espsilon>0), then M must be compact unless it is flat. This conjecture was recently proved by Lee and Topping. In this talk, I will first talk about the origin of this conjecture, which is a result of Hamilton on hypersurfaces in Euclidean space with pinched second fundamental form. Then I shall present a result joint with Guoqiang Wu, which investigates the pinching condition in higher dimensional locally conformally flat manifolds.