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arxiv: math/0405068 · v1 · submitted 2004-05-05 · 🧮 math.DG

The Ambient Obstruction Tensor and Q-Curvature

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keywords ambientobstructionq-curvaturetensorbransonclassificationconformallycurvature
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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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