Speaker: 来米加教授(上海交通大学)
Abstract: Hamilton’s pinching conjecture asserts that if a three dimensional manifold satisfies a Ricci pinching condition (, for some small ), 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.
Time: 15:00 ~ 16:00, Fri., May 10, 2024
Location: Floor 6, Innovation Center Building 3, Weicheng Road 62, Yangpu District, Shanghai, China
Zoom Meeting No.: 423 317 8953
Password: SIMIS
Organizer: Yi Li, Hao Xu