Convergence of the Yamabe flow on manifolds with minimal boundary

Abstract

We study the Yamabe flow on compact Riemannian manifolds of dimensions greater than two with minimal boundary. Convergence to a metric with constant scalar curvature and minimal boundary is established in dimensions up to seven, and in any dimensions if the manifold is spin.

arXiv commentFinal version. Accepted to Annali della Scuola Normale Superiore di Pisa (Classe di Scienze). arXiv admin note: text overlap with arXiv:1206.1184"