Yamabe Spectra
dg-ga
2016-08-31 v1 Differential Geometry
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.
Cite
@article{arxiv.dg-ga/9411002,
title = {Yamabe Spectra},
author = {Alexander Reznikov},
journal= {arXiv preprint arXiv:dg-ga/9411002},
year = {2016}
}
Comments
Plain TEX, 13 pages. The auxilliary files: vanilla.sty, definiti.tex and mathchar.tex should be available from dg-ga, or may be sent by the author