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arXiv 2013-09-30 0 views

Generalized Ricci flow II: existence for noncompact complete manifolds

Li, Yi

Original · EN

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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