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Prescribed Q-curvature problem on closed 4-Riemannian manifolds in the null case

Abstract : The main objective of this short note is to give a sufficient condition for a non constant function k to be Q curvature candidate for a conformal metric on a closed Riemannian manifold with the null Q-curvature. In contrast to the prescribed scalar curvature on the two-dimensional flat tori, the condition we provided is not necessary as some examples show.
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Submitted on : Tuesday, May 1, 2012 - 7:56:39 PM
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Yuxin Ge, Xingwang Xu. Prescribed Q-curvature problem on closed 4-Riemannian manifolds in the null case. Calculus of Variations and Partial Differential Equations, Springer Verlag, 2008, 31 (4), pp.549--555. ⟨10.1007/s00526-007-0130-9⟩. ⟨hal-00693073⟩

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