The ambient metric

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dc.creatorFefferman, Charles
dc.creatorGraham, C. Robin
dc.date2007-10-04
dc.date2008-10-22
dc.date.accessioned2026-07-07T10:11:52Z
dc.date.available2026-07-07T10:11:52Z
dc.descriptionThis paper provides details of the construction, properties and some applications of the ambient metric associated to a conformal class of metrics on a smooth manifold. Existence and uniqueness of formal expansions defining such metrics are considered. Equivalence with the expansions of associated Poincare metrics is established. Definitions and properties of conformal curvature tensors defined by ambient metrics together with formulation and proof of a jet isomorphism theorem with application to the characterization of scalar conformal invariants are given.
dc.descriptionv2: 100 pages, introduction rewritten, minor editorial changes elsewhere
dc.identifierhttps://arxiv.org/abs/0710.0919
dc.identifierhttp://arxiv.org/abs/0710.0919
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/171999
dc.subjectDifferential Geometry
dc.subject53B20
dc.titleThe ambient metric
dc.typetext

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