Speaker
Xiaochun Rong
(Capital Normal University and Rutgers University)
Description
A Riemannian manifold is collapsed, if any unit ball has small volume. The local rewinding volume of a metric ball $B_r(x)$ is the volume of $B_r(x^*)$, where $(U^*(x,r),x^*)\to B_r(x),x)$ denotes the Riemannian universal covering space. We will report recent work on collapsed Riemannian manifolds with Ricci curvature and local rewinding volume bounded below.
