Examples for Cross Curvature Flow on 3-Manifolds
Differential Geometry
2007-05-23 v1 Analysis of PDEs
Abstract
Recently, B.Chow and R.S.Hamilton introduced the cross curvature flow on 3-manifolds. In this paper, we analyze two interesting examples for this new flow. One is on a square torus bundle over a circle, and the other is on a bundle over a circle. We show that the global flow exist in both cases. But on the former the flow diverges at time infinity, and on the latter the flow converges at time infinity.
Cite
@article{arxiv.math/0405275,
title = {Examples for Cross Curvature Flow on 3-Manifolds},
author = {Li Ma and Dezhong Chen},
journal= {arXiv preprint arXiv:math/0405275},
year = {2007}
}
Comments
14 pages