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Cross Curvature Flow on Locally Homogeneous Three-manifolds (II) by Cao, Xiaodong; Saloff-Coste, Laurent is a scholarly article available to read on EtoBox.

What is Cross Curvature Flow on Locally Homogeneous Three-manifolds (II) about?

In this paper, we study the positive cross curvature flow on locally homogeneous 3-manifolds. We describe the long time behavior of these flows. We combine this with earlier results concerning the asymptotic behavior of the negative cross curvature flow to describe the two sided behavior of maximal solutions of the cross curvature flow on locally homogeneous 3-manifolds. We show that, typically, the positive cross curvature flow on locally homogeneous 3-manifold produce an Heisenberg type sub-Riemannian geometry.

Author

Cao, Xiaodong; Saloff-Coste, Laurent

Published

2008

Language

EN