Yamabe Spectra
classification
dg-ga
math.DG
keywords
alwaysatoroidalattainedbelievedconformalconstantcurvaturehomology
read the original abstract
We study the set of volumes of constant scalar curvature one metrics on an atoroidal three-manifold.The infinum of this set is believed to be attained at a hyperbolic metric. We prove that the supremum of this set is always infinity. The technique is: minimal surfaces, Thurston norm in homology and new conformal invariants.
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