SIMIS Seminar on Geometric Analysis and PDEs: Hamilton’s pinching condition and conformal deformation

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

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