Integral pinched curvature and the topology of some 3-manifolds

Gilles Carron

I will report on a joint work with V. Bour. The famous work of R. Hamilton on the Ricci flow gives a classification of closed Riemannian 3-manifolds with non negative Ricci curvature. We will give an analogous classification for closed 3-manifolds whose negative part of the Ricci curvature is small in an integral sense. Our results are based on a Bochner type argument, the classification of closed 3 manifolds carrying a metric with positive scalar curvature and a topological argument.

http://scgp.stonybrook.edu/video_portal/video.php?id=2354

Simons- Workshop: Riemannian Convergence Theory