News icon 学术报告
Gywm line

题 目:Hang-Wang type Rigidity theorem


摘 要:Let (M, g) be a compact Riemannian manifold with boundary. Suppose Ric \geq n-1, Hang and Wang proved that M is isometric to the standard hemisphere provided that $\partial M$ is isometric to $S^{n-1}$ and convex. In this talk,  we present a generalization of this result. We assume the $\partial M $ is isometric to a product manifold with one sphere factor, and pose some conditions on the second fundamental form of $\partial M$. It turns out $M$ is isometric to a doubly warped product metric.

时 间:2019年6月14日 10:00–12:00

地 点:蒙民伟楼1105室

邀请人:陈学长 老师