Conformally invariant powers of the Laplacian — A complete nonexistence theorem

  title={Conformally invariant powers of the Laplacian — A complete nonexistence theorem},
  author={A. Rod Gover and Kengo Hirachi},
  journal={Journal of the American Mathematical Society},
Conformally invariant operators and the equations they determine play a central role in the study of manifolds with pseudo-Riemannian, Riemannian, conformai and related structures. This observation dates back to at least the very early part of the last century when it was shown that the equations of massless particles on curved space-time exhibit conformai invariance. In this setting a key operator is the con formally invariant wave operator which has leading term a pseudo-Laplacian. The… Expand

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