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The Ambient Obstruction Tensor and Q-Curvature

C. Robin Graham, Kengo Hirachi

math.DGarXiv:math/0405068

Abstract

It is shown that the variational derivative of the integral of Branson's Q-curvature is the ambient obstruction tensor of Fefferman-Graham. A classification of irreducible conformally invariant tensors modulo quadratic and higher degree terms in curvature is established.

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