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ON UNIQUENESS AND DIFFERENTIABILITY IN THE SPACE OF YAMABE METRICS
 

Summary: 



ON UNIQUENESS AND DIFFERENTIABILITY IN THE SPACE OF YAMABE

METRICS



MICHAEL T. ANDERSON



Abstract.It is shown that there is a unique Yamabe representative for a *
*generic set of conformal
classes in the space of metrics on any manifold. At such classes, the sc*
*alar curvature functional is
shown to be differentiable on the space of Yamabe metrics. In addition, *
*some sufficient conditions are

  

Source: Anderson, Michael - Department of Mathematics, SUNY at Stony Brook

 

Collections: Mathematics