Yamabe Spectra

Details Yamabe Spectra Yamabe Spectra

1994-11-07

arxiv.org/abs/dg-ga/9411002v1

Mathematics

Differential Geometry

Plain TEX, 13 pages. The auxilliary files: vanilla.sty, definiti.tex and mathchar.tex should be available from dg-ga, or may b

Scientific paper

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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