Abstract
The concentration-compactness principle and the Yamabe flow in conformal geometry
Simon Brendle
Columbia 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.
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