On uniqueness and differentiability in the space of Yamabe metrics

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We prove that generically (positive) Yamabe metrics are unique in their conformal class, and describe some sufficient conditions which imply that a Yamabe metric of locally maximal scalar curvature is an Einstein metric.
9pp. This is a complete rewritting of the previous version on the same topic, with new title. The reasoning for (2.14) in v1 is incorrect, and this estimate remains an open problem

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Differential Geometry, Geometric Topology

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http://salesiana.dossiersoluciones.com/handle/123456789/65468

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0210446
 http://arxiv.org/abs/math/0210446

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arXiv