Generalized Ricci flow II: existence for noncompact complete manifolds
Differential Geometry
2013-10-01 v1
Abstract
In this paper, we continue to study the generalized Ricci flow. We give a criterion on steady gradient Ricci soliton on complete and noncompact Riemannian manifolds that is Ricci-flat, and then introduce a natural flow whose stable points are Ricci-flat metrics. Modifying the argument used by Shi and List, we prove the short time existence and higher order derivatives estimates.
Keywords
Cite
@article{arxiv.1309.7710,
title = {Generalized Ricci flow II: existence for noncompact complete manifolds},
author = {Yi Li},
journal= {arXiv preprint arXiv:1309.7710},
year = {2013}
}
Comments
64 pages