Abstract
In this paper we are interested in the multiplicity of the Yamabe metrics for compact Riemannain manifolds. This problem may be approached only when the scalar curvature is positive. This is the case notably of certain locally conformally flat manifolds. Furthermore, there exists a link with the singular Yamabe problem. We give various applications of this study.
Information
Published: 1 January 2002
First available in Project Euclid: 12 June 2015
zbMATH: 1014.53022
MathSciNet: MR1884845
Digital Object Identifier: 10.7546/giq-3-2002-185-195
Rights: Copyright © 2002 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences
