On uniqueness and differentiability in the space of Yamabe metrics

Michael T. Anderson

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arXiv · math/0210446

On uniqueness and differentiability in the space of Yamabe metrics

Michael T. Anderson

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Abstract

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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Michael T. Anderson. 2005-06-07. On uniqueness and differentiability in the space of Yamabe metrics. https://arxiv.org/abs/math/0210446

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