Equivariant Yamabe problem and Hebey-Vaugon conjecture

Details Equivariant Yamabe problem and Hebey-Vaugon conjecture Equivariant Yamabe problem and Hebey-Vaugon conjecture

2009-03-19

arxiv.org/abs/0903.3357v3

Mathematics

Differential Geometry

Scientific paper

10.1016/j.jfa.2009.10.002

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.

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