|Riemannian manifolds of positive curvature|
Abstract: We will outline the history and summarize some longstanding conjectures concerning manifolds of positive sectional curvature. We will then describe our recent classification (joint with Simon Brendle) of manifolds with pointwise 1/4-pinched curvature. This proof employs the Ricci flow, but the curvature condition we consider first arose from consideration of the index form for minimal surfaces. We will describe a new strong maximum principle for the Ricci flow which plays an important role in our proof.
|Web page: Alexandru I. Suciu||Comments to: email@example.com|
|Posted: April 22, 2008||URL: http://www.math.neu.edu/bhmn/schoen08.html|