Backward Ricci Flow on Locally Homogeneous Three-manifolds
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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.
17 pages, references added, final version
17 pages, references added, final version