Conformally Invariant Powers of the Laplacian, Q-Curvature, and Tractor Calculus

  title={Conformally Invariant Powers of the Laplacian, Q-Curvature, and Tractor Calculus},
  author={A. Rod Gover and Lawrence J. Peterson},
  journal={Communications in Mathematical Physics},
Abstract: We describe an elementary algorithm for expressing, as explicit formulae in tractor calculus, the conformally invariant GJMS operators due to C.R. Graham et alia. These differential operators have leading part a power of the Laplacian. Conformal tractor calculus is the natural induced bundle calculus associated to the conformal Cartan connection. Applications discussed include standard formulae for these operators in terms of the Levi-Civita connection and its curvature and a direct… Expand
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