Conformally covariant differential operators acting on spinor bundles and related conformal covariants

  title={Conformally covariant differential operators acting on spinor bundles and related conformal covariants},
  author={M. Fischmann},
Conformal powers of the Dirac operator on semi Riemannian spin manifolds are investigated. We give a new proof of the existence of conformal odd powers of the Dirac operator on semi Riemannian spin manifolds using the tractor machinery. We will also present a new family of conformally covariant linear differential operators on the standard spin tractor bundle. Furthermore, we generalize the existence proof of conformal power of the Dirac operator on Riemannian spin manifolds [GMP12] to semi… Expand
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