The Ambient Obstruction Tensor and Q-Curvature

  title={The Ambient Obstruction Tensor and Q-Curvature},
  author={C. Robin Graham and Kengo Hirachi},
|W |, where W denotes the Weyl tensor. A generalization of the Bach tensor to higher even dimensional manifolds was indicated in [FG1]. This “ambient obstruction tensor”, which, suitably normalized, we denote by Oij , is also a trace-free symmetric 2-tensor which is conformally invariant and vanishes for conformally Einstein metrics. It involves n derivatives of the metric on a manifold of even dimension n ≥ 4. In this paper we give the details of the derivation and basic properties of the… Expand
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