Communications in Analysis and Geometry

Volume 17 (2009)

Number 2

Backward Ricci flow on locally homogeneous 3-manifolds

Pages: 305 – 325

DOI: http://dx.doi.org/10.4310/CAG.2009.v17.n2.a6

Authors

Xiaodong Cao (Department of Mathematics, Cornell University)

Laurent Saloff-Coste (Department of Mathematics, Cornell University)

Abstract

In this paper, we study the backward Ricci flow on locallyhomogeneous $3$-manifolds. We describe the long timebehavior and show that, typically and after a proper re-scaling,there is convergence to a sub-Riemannian geometry. A similarbehavior was observed by the authors in the case of the crosscurvature flow.

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