Holographic formula for Q-curvature

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dc.creatorGraham, C. Robin
dc.creatorJuhl, Andreas
dc.date2007-04-13
dc.date.accessioned2026-07-07T07:56:30Z
dc.date.available2026-07-07T07:56:30Z
dc.descriptionThis paper derives an explicit formula for Branson's Q-curvature in even-dimensional conformal geometry. The ingredients in the formula come from the Poincare metric in one higher dimension; hence the formula is called holographic. When specialized to the conformally flat case, the holographic formula expresses Q-curvature as a multiple of the Pfaffian and the divergence of a natural one-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.
dc.description13 pages
dc.identifierhttps://arxiv.org/abs/0704.1673
dc.identifierhttp://arxiv.org/abs/0704.1673
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/127329
dc.subjectDifferential Geometry
dc.subject53B20
dc.titleHolographic formula for Q-curvature
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