Equivariant Yamabe problem and Hebey-Vaugon conjecture
arXiv:0903.3357 · doi:10.1016/j.jfa.2009.10.002
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.