Inhomogeneous Ambient Metrics

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dc.creatorGraham, C. Robin
dc.creatorHirachi, Kengo
dc.date2006-11-30
dc.date.accessioned2026-07-07T07:33:30Z
dc.date.available2026-07-07T07:33:30Z
dc.descriptionAn extension of the ambient metric construction of Fefferman-Graham to infinite order in even dimensions is described. The main ingredients are the introduction of "inhomogeneous ambient metrics" with asymptotic expansions involving the logarithm of a defining function homogeneous of degree 2, and an invariant procedure for taking the smooth part of such an inhomogeneous ambient metric. The metrics which result depend on the choice of an "ambiguity tensor" as well as a conformal class. An application to the description of scalar conformal invariants in even dimensions is outlined.
dc.description18 pages
dc.identifierhttps://arxiv.org/abs/math/0611931
dc.identifierhttp://arxiv.org/abs/math/0611931
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/119480
dc.subjectDifferential Geometry
dc.subject53B20
dc.titleInhomogeneous Ambient Metrics
dc.typetext

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