Distances between Riemannian Manifolds and Metric Spaces
Lehman College and CUNY Graduate Center
Thursday, February 19, 2009
007 Kemeny Hall, 4 pm
Tea 3:30 pm, 300 Kemeny Hall
Abstract: We will begin by reviewing the notions of Hausdorff and Federer-Fleming flat distances between surfaces in Euclidean three dimensional space. We then review Gromov's intrinsic Hausdorff distance defined between any pair of Riemannian manifolds or metric spaces via isometric embeddings into a common metric space. We introduce the new notion of intrinsic flat distance between Riemannian manifolds. This new notion is joint work with Stefan Wenger (UIC). The presentation will be geometric in style with lots of pictures and less emphasis on the rigorous definitions of these distances.
This talk will be accessible to graduate students.