|On the curvature of 4-manifolds|
Abstract: A central problem in global differential geometry is to determine when a smooth compact n-manifold admits a metric which is "as flat as possible". In this lecture, I will describe some recent results on the existence and non-existence of such "optimal metrics" on simply connected 4-manifolds. Interestingly, the difference between existence and non-existence turns out to delicately depend on one's choice of differentiable structure; it is not determined by the homeomorphism type alone.
|Web page: Alexandru I. Suciu||Comments to: email@example.com|
|Posted: May 11, 2004||URL: http://www.math.neu.edu/bhmn/lebrun04.html|