Corpus ID: 16058232

On conformally covariant powers of the Laplacian

  title={On conformally covariant powers of the Laplacian},
  author={A. Juhl},
  journal={arXiv: Differential Geometry},
  • A. Juhl
  • Published 2011
  • Mathematics, Physics
  • arXiv: Differential Geometry
We propose and discuss recursive formulas for conformally covariant powers $P_{2N}$ of the Laplacian (GJMS-operators). For locally conformally flat metrics, these describe the non-constant part of any GJMS-operator as the sum of a certain linear combination of compositions of lower order GJMS-operators (primary part) and a second-order operator which is defined by the Schouten tensor (secondary part). We complete the description of GJMS-operators by proposing and discussing recursive formulas… Expand
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