The Backward behavior of the Ricci and Cross Curvature Flows on SL(2,R)
Cao, Xiaodong · Guckenheimer, John · Saloff-Coste, Laurent
Original · EN
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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