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Given (M, g0) a three-dimensional compact Riemannian manifold, assumed not to be conformally diffeomorphic to the standard unit 3-sphere, and G a compactsubgroup of the conformal group of (M, g0), we first study conditions for a smooth G-invariant function f to be the scalar curvature of a G-invariant conformalmetric to g0. Then, extending previous results of Hebeyand Vaugon, we study conditions...
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