Equivariant Yamabe problem and Hebey-Vaugon conjecture
Differential Geometry
2009-10-14 v3
Abstract
In their study of the Yamabe problem in the presence of isometry group, Hebey and Vaugon announced a conjecture. This conjecture generalizes Aubin's conjecture, which has already been proven and is sufficient to solve the Yamabe problem. In this paper, we generalize Aubin's theorem and we prove the Hebey--Vaugon conjecture in some new cases.
Cite
@article{arxiv.0903.3357,
title = {Equivariant Yamabe problem and Hebey-Vaugon conjecture},
author = {Farid Madani},
journal= {arXiv preprint arXiv:0903.3357},
year = {2009}
}