On uniqueness and differentiability in the space of Yamabe metrics

Details On uniqueness and differentiability in the space of Yamabe metrics On uniqueness and differentiability in the space of Yamabe metrics

2002-10-29

arxiv.org/abs/math/0210446v3

Mathematics

Differential Geometry

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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