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arxiv: 0810.3352 · v2 · submitted 2008-10-18 · 🧮 math.DG

Backward Ricci Flow on Locally Homogeneous Three-manifolds

classification 🧮 math.DG
keywords flowbackwardbehaviorhomogeneouslocallyricciauthorscase
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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.

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