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VOL. 3 | 2002 On the Multiplicity of Certain Yamabe Metrics

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

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