Laplacian Operators and Q-curvature on Conformally Einstein Manifolds

  title={Laplacian Operators and Q-curvature on Conformally Einstein Manifolds},
  author={A. Rod Gover},
  journal={Mathematische Annalen},
  • A. Gover
  • Published 2 June 2005
  • Mathematics
  • Mathematische Annalen
A new definition of canonical conformal differential operators Pk (k = 1,2,...), with leading term a kth power of the Laplacian, is given for conformally Einstein manifolds of any signature. These act between density bundles and, more generally, between weighted tractor bundles of any rank. By construction these factor into a power of a fundamental Laplacian associated to Einstein metrics. There are natural conformal Laplacian operators on density bundles due to Graham–Jenne–Mason–Sparling… 

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