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.