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Yamabe Spectra

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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AuthorshipTopic signalTopic signalWYamabe Spectrapreprint / 1994AAlexander ReznikovResearcherTmath.DG4490 worksTdg-ga8 works
PaperSignal 103 links

Yamabe Spectra

preprint / 1994

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