科学研究
学术报告
On Locally Conformally Flat Manifolds with Positive Pinched Ricci Curvature
邀请人:熊革
发布时间:2023-12-11浏览次数:

题目:On Locally Conformally Flat Manifolds with Positive Pinched Ricci Curvature

报告人:程亮 副教授 (华中师范大学)

地点:腾讯会议室

时间: 2023年12月21日 8:00-8:50

摘要: By using the Yamabe flow, we prove that if $(M^n,g)$, $n\geq3$, is an $n$-dimensional locally conformally flat complete Riemannian manifold  satisfying $Rc\geq \epsilon Rg>0$, then $M^n$ must be compact. Our result shows that Hamilton's pinching conjecture also holds for higher dimensional case if we assume additionally the metric is locally conformally flat.

参会方式:腾讯会议室

账号:662-859-6692

All are welcome!