Collapsed Manifolds With Ricci Bounded Covering Geometry
微分几何专题报告
报告题目(Title):Collapsed Manifolds With Ricci Bounded Covering Geometry
报告人(Speaker):孔令令 (东北师范大学)
地点(Place):后主楼 1223室
时间(Time):2019年5月7日16:00-17:00
邀请人(Inviter):彦文娇
报告摘要
We study collapsed manifolds with Ricci bounded covering geometry i.e., Ricci curvature is bounded below and the Riemannian universal cover is non-collapsed or consists of uniform Reifenberg points. Via Ricci flows' techniques, we partially extend the nilpotent structural results of Cheeger-Fukaya-Gromov, on collapsed manifolds with (sectional curvature) local bounded covering geometry, to manifolds with (global) Ricci bounded covering geometry.