Equivariant Yamabe problem and Hebey-Vaugon conjecture
classification
🧮 math.DG
keywords
conjectureproblemyamabeaubinalreadyannouncedbeencases
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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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