Extended obstruction tensors and renormalized volume coefficients

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dc.creatorGraham, C. Robin
dc.date2008-10-23
dc.date.accessioned2026-07-07T10:12:40Z
dc.date.available2026-07-07T10:12:40Z
dc.descriptionThe behavior under conformal change of the renormalized volume coefficients associated to a pseudo-Riemannian metric is investigated. It is shown that they define second order fully nonlinear operators in the conformal factor whose algebraic structure is elucidated via the introduction of "extended obstruction tensors". These together with the Schouten tensor constitute building blocks for the coefficients in the ambient metric expansion. The renormalized volume coefficients have recently been considered by Chang-Fang motivated by comparison with the elementary symmetric functions of the eigenvalues of the Schouten tensor.
dc.description32 pages
dc.identifierhttps://arxiv.org/abs/0810.4203
dc.identifierhttp://arxiv.org/abs/0810.4203
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/172258
dc.subjectDifferential Geometry
dc.subject53B20
dc.titleExtended obstruction tensors and renormalized volume coefficients
dc.typetext

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