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Sign of Green's function of Paneitz operators and the Q curvature (1411.3924v2)
Published 14 Nov 2014 in math.DG and math.AP
Abstract: In a conformal class of metrics with positive Yamabe invariant, we derive a necessary and sufficient condition for the existence of metrics with positive Q curvature. The condition is conformally invariant. We also prove some inequalities between the Green's functions of the conformal Laplacian operator and the Paneitz operator.
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