Abstract
We prove that under suitable assumptions, the constant term in the Green function of the Paneitz–Branson operator on a compact Riemannian manifold (M, g) is positive unless (M, g) is conformally diffeomorphic to the standard sphere. The proof is inspired by the positive mass theorem on spin manifolds by Ammann and Humbert (Geom Func Anal 15(3):567–576, 2005 [1]).
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References
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