Conformally covariant differential operators: properties and applications

@article{Erdmenger1997ConformallyCD,
  title={Conformally covariant differential operators: properties and applications},
  author={J. Erdmenger},
  journal={Classical and Quantum Gravity},
  year={1997},
  volume={14},
  pages={2061-2084}
}
  • J. Erdmenger
  • Published 1997
  • Physics
  • Classical and Quantum Gravity
We discuss conformally covariant differential operators, which under local rescalings of the metric, , transform according to for some r if is of order s. It is shown that the flat space restrictions of their associated Green functions have forms which are strongly constrained by flat space conformal invariance. The same applies to the variation of the Green functions with respect to the metric. The general results are illustrated by finding the flat space Green function, and also its first… Expand
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