Backward Ricci Flow on Locally Homogeneous Three-manifolds

Details Backward Ricci Flow on Locally Homogeneous Three-manifolds Backward Ricci Flow on Locally Homogeneous Three-manifolds

2008-10-18

arxiv.org/abs/0810.3352v2

Mathematics

Differential Geometry

17 pages, references added, final version

Scientific paper

In this paper, we study the backward Ricci flow on locally homogeneous
3-manifolds. We describe the long time behavior and show that, typically and
after a proper re-scaling, there is convergence to a sub-Riemannian geometry. A
similar behavior was observed by the authors in the case of the cross curvature
flow.

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