The Backward behavior of the Ricci and Cross Curvature Flows on SL(2,R)

Details The Backward behavior of the Ricci and Cross Curvature Flows on SL(2,R) The Backward behavior of the Ricci and Cross Curvature Flows on SL(2,R)

2009-06-23

arxiv.org/abs/0906.4157v2

Mathematics

Differential Geometry

15 pages, 2 figures, minor corrections

Scientific paper

This paper is concerned with properties of maximal solutions of the Ricci and
cross curvature flows on locally homogeneous three-manifolds of type SL(2,R).
We prove that, generically, a maximal solution originates at a sub-Riemannian
geometry of Heisenberg type. This solves a problem left open in earlier work by
two of the authors.

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