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

Li, Yi

doi:10.2140/apde.2012.5.747

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

Yi Li

Vol. 5 (2012), No. 4, 747–775

DOI: 10.2140/apde.2012.5.747

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

Vol. 5, No. 4, 2012