We say that a manifold is collapsing when its injectivity radius tends to 0 while keeping the curvature bounded. Understanding these type of situations becomes important when one tries to study how metrics degenerate on a given manifold. We will present the main results in the field by Cheeger, Gromov and Fukaya
Graduate Student Geometry-Topology Seminar
Tuesday, March 24, 2015 - 4:30pm
Martin Citoler-Saumell
University of Pennsylvania