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Generalized Ricci flow II: existence for noncompact complete manifolds
Yi Li, 2013.09.30
http://arxiv.org/abs/1309.7710
In this paper, we continue to study the generalized Ricci flow. We give a criterion on steady gradient Ricci soliton on complete and noncompact Riemannian manifolds that is Ricci-flat, and then introduce a natural flow whose stable points are Ricci-flat metrics. Modifying the argument used by Shi and List, we prove the short time existence and higher order derivatives estimates.
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