Bi-Lipschitz pieces between manifolds
Time and place
1 PM on Thursday, April 7th, 2016;
Guy C. David (New York University )
Abstract
We discuss a rigidity question for Lipschitz mappings in abstract metric measure spaces: if f is a Lipschitz mapping from X to Y whose image has positive measure, then must f have large pieces on which it is a bi-Lipschitz homeomorphism? Building on methods of David (who is not the present speaker!) and Semmes, we answer this question for a class of (potentially highly non-Euclidean) topological manifolds with certain geometric properties.
