Title: Ricci flow of non-smooth spaces
Speaker: Dr. Thomas Richard IISc, Bangalore
Date: 15 November 2012
Time: 4:00 pm- 5:00 pm
Venue: Department of Mathematics, LH-III
Ricci flow is a PDE that deform the metric of a Riemannian manifold in the direction of its Ricci curvature. For compact smooth manifolds, there is a well established existence and uniqueness theory. However for some applications it can be useful to consider Ricci flows of non-smooth spaces, or metric spaces whose distance doesn’t come from a Riemannian metric. We will show that existence and uniqueness holds for the Ricci flow of compact singular surfaces whose curvature is bounded from below in the sense of Alexandrov.