Scattering Matrix in Conformal Geometry

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dc.creatorGraham, C. Robin
dc.creatorZworski, Maciej
dc.date2001-09-14
dc.date.accessioned2026-07-07T04:43:22Z
dc.date.available2026-07-07T04:43:22Z
dc.descriptionThis paper describes the connection between scattering matrices on conformally compact asymptotically Einstein manifolds and conformally invariant objects on their boundaries at infinity. The conformally invariant powers of the Laplacian arise as residues of the scattering matrix and Branson's Q-curvature in even dimensions as a limiting value. The integrated Q-curvature is shown to equal a multiple of the coefficient of the logarithmic term in the renormalized volume expansion.
dc.description29 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/math/0109089
dc.identifierhttp://arxiv.org/abs/math/0109089
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62191
dc.subjectDifferential Geometry
dc.subjectMathematical Physics
dc.subjectSpectral Theory
dc.titleScattering Matrix in Conformal Geometry
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