Vol. 286, No. 2, 2017

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ISSN: 0030-8730
Uniqueness of conformal Ricci flow using energy methods

Thomas Bell

Vol. 286 (2017), No. 2, 277–290
Abstract

We analyze an energy functional associated to conformal Ricci flow along closed manifolds with constant negative scalar curvature. Given initial conditions we use this functional to demonstrate the uniqueness of both the metric and the pressure function along conformal Ricci flow.

Keywords
conformal Ricci flow, Ricci flow
Mathematical Subject Classification 2010
Primary: 53C25, 53C44
Secondary: 35K65
Milestones
Received: 10 March 2015
Revised: 1 April 2016
Accepted: 8 June 2016
Published: 15 January 2017
Authors
Thomas Bell
Department of Mathematics
Brigham Young University
275 TMCB
Provo, UT 84602
United States