Differential Geometry Seminar: Ricci flow on asymptotically Euclidean manifolds

Seminar | March 20 | 1:10-2 p.m. | 939 Evans Hall

 Yu Li, University of Wisconsin

 Department of Mathematics

In this talk, we prove that if an asymptotically Euclidean (AE) manifold with nonnegative scalar curvature has long time existence of the Ricci flow, then it converges to Euclidean space in a strong sense. By convergence, the mass will drop to zero as time tends to infinity. Moreover, in the three dimensional case, we use Ricci flow with surgery to give an independent proof of the positive mass theorem.