Cross Curvature Flow on Locally Homogenous Three-manifolds (I)
Differential Geometry
2007-11-06 v2
Abstract
Chow and Hamilton introduced the cross curvature flow on closed 3-manifolds with negative or positive sectional curvature. In this paper, we study the negative cross curvature flow in the case of locally homogenous metrics on 3-manifolds. In each case, we describe the long time behavior of the solutions of the corresponding ODE system.
Keywords
Cite
@article{arxiv.0708.1922,
title = {Cross Curvature Flow on Locally Homogenous Three-manifolds (I)},
author = {Xiaodong Cao and Yilong Ni and Laurent Saloff-Coste},
journal= {arXiv preprint arXiv:0708.1922},
year = {2007}
}
Comments
18 pages