On uniqueness and differentiability in the space of Yamabe metrics

Mathematics – Differential Geometry

Scientific paper

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9pp. This is a complete rewritting of the previous version on the same topic, with new title. The reasoning for (2.14) in v1 i

Scientific paper

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.

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