Proceedings of the International Conference on Geometry, Integrability and Quantization

On the Multiplicity of Certain Yamabe Metrics

A. Raouf Chouikha

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.

Article information

Source
Proceedings of the Third International Conference on Geometry, Integrability and Quantization, Ivaïlo M. Mladenov and Gregory L. Naber, eds. (Sofia: Coral Press Scientific Publishing, 2002), 185-195

Dates
First available in Project Euclid: 12 June 2015

Permanent link to this document
https://projecteuclid.org/ euclid.pgiq/1434145467

Digital Object Identifier
doi:10.7546/giq-3-2002-185-195

Mathematical Reviews number (MathSciNet)
MR1884845

Zentralblatt MATH identifier
1014.53022

Citation

Chouikha, A. Raouf. On the Multiplicity of Certain Yamabe Metrics. Proceedings of the Third International Conference on Geometry, Integrability and Quantization, 185--195, Coral Press Scientific Publishing, Sofia, Bulgaria, 2002. doi:10.7546/giq-3-2002-185-195. https://projecteuclid.org/euclid.pgiq/1434145467


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