Holographic formula for Q-curvature

• Autores: Robin Graham, Andreas Juhl
• Localización: Advances in mathematics, ISSN 0001-8708, Vol. 216, Nº 2, 2007, págs. 841-853
• Idioma: inglés
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• Resumen

  • Abstract This paper derives an explicit formula for Branson's Q-curvature in even-dimensional conformal geometry. The ingredients in the formula come from the Poincaré metric in one higher dimension; hence the formula is called holographic. When specialized to the conformally flat case, the holographic formula expresses the Q-curvature as a multiple of the Pfaffian and the divergence of a natural 1-form. The paper also outlines the relation between holographic formulae for Q-curvature and a new theory of conformally covariant families of differential operators due to the second author.