Backward Ricci Flow on Locally Homogeneous Three-manifolds
Differential Geometry
2009-03-02 v2
Abstract
In this paper, we study the backward Ricci flow on locally homogeneous 3-manifolds. We describe the long time behavior and show that, typically and after a proper re-scaling, there is convergence to a sub-Riemannian geometry. A similar behavior was observed by the authors in the case of the cross curvature flow.
Cite
@article{arxiv.0810.3352,
title = {Backward Ricci Flow on Locally Homogeneous Three-manifolds},
author = {Xiaodong Cao and Laurent Saloff-Coste},
journal= {arXiv preprint arXiv:0810.3352},
year = {2009}
}
Comments
17 pages, references added, final version