Convergence of the Yamabe flow on manifolds with minimal boundary
Differential Geometry
2018-12-31 v2
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.
Keywords
Cite
@article{arxiv.1604.06789,
title = {Convergence of the Yamabe flow on manifolds with minimal boundary},
author = {Sergio Almaraz and Liming Sun},
journal= {arXiv preprint arXiv:1604.06789},
year = {2018}
}
Comments
Final version. Accepted to Annali della Scuola Normale Superiore di Pisa (Classe di Scienze). arXiv admin note: text overlap with arXiv:1206.1184"