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 Ricciflat, and then introduce a natural flow
whose stable points are Ricciflat metrics. Modifying the argument used by Shi
and List, we prove the short time existence and higher order derivatives
estimates.
