Vol. 5, No. 4, 2012

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Generalized Ricci flow, I: Higher-derivative estimates for compact manifolds

Yi Li

Vol. 5 (2012), No. 4, 747–775
Abstract

We consider a generalized Ricci flow with a given (not necessarily closed) three-form and establish higher-derivative estimates for compact manifolds. As an application, we prove the compactness theorem for this generalized Ricci flow. Similar results still hold for a more generalized Ricci flow.

Keywords
Ricci flow, Generalized Ricci flow, BBS derivative estimates, compactness theorems, energy functionals
Mathematical Subject Classification 2010
Primary: 53C44, 35K55
Milestones
Received: 22 September 2010
Revised: 4 August 2011
Accepted: 27 September 2011
Published: 27 November 2012
Authors
Yi Li
Department of Mathematics
Johns Hopkins University
3400 N. Charles Street
Baltimore, MD 21218
United States