Contents Online
Communications in Analysis and Geometry
Volume 17 (2009)
Number 4
The backward behavior of the Ricci and cross-curvature flows on $\mbox{SL}(2, \mathbb{R})$
Pages: 777 – 796
DOI: https://dx.doi.org/10.4310/CAG.2009.v17.n4.a9
Authors
Abstract
This paper is concerned with properties of maximal solutions ofthe Ricci and cross-curvature flows on locally homogeneous threemanifolds of type $\mbox{SL}_2(\mathbb R)$. We prove that,generically, a maximal solution originates at a sub-Riemanniangeometry of Heisenberg type. This solves a problem left open inearlier work by two of the authors.
Published 1 January 2009