Smooth long-time existence of Harmonic Ricci Flow on surfaces
Differential Geometry
2017-03-24 v3 Analysis of PDEs
Abstract
We prove that at a finite singular time for the Harmonic Ricci Flow on a surface of positive genus both the energy density of the map component and the curvature of the domain manifold have to blow up simultaneously. As an immediate consequence, we obtain smooth long-time existence for the Harmonic Ricci Flow with large coupling constant.
Keywords
Cite
@article{arxiv.1510.03643,
title = {Smooth long-time existence of Harmonic Ricci Flow on surfaces},
author = {Reto Buzano and Melanie Rupflin},
journal= {arXiv preprint arXiv:1510.03643},
year = {2017}
}
Comments
29 pages, final version incorporating minor modifications based on comments from referees, to appear in J. London Math. Soc