The concentration-compactness principle and the Yamabe flow in conformal geometry

Simon Brendle
Princeton University

Let M be a manifold with Riemannian metric g. Along the Yamabe flow, the metric is deformed according to the differential equation g' = -(R - r)g, where R denotes the scalar curvature and r its mean value. H. Schwetlick and M. Struwe recently proved convergence of the flow assuming some bound on the initial energy. We discuss how this condition can be removed.


Back to Geometric Flows: Theory and Computation