Conformal Dirichlet-Neumann Maps and Poincaré-Einstein Manifolds

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dc.creatorGover, A. Rod
dc.date2007-10-13
dc.date2007-10-21
dc.date.accessioned2026-07-07T09:34:47Z
dc.date.available2026-07-07T09:34:47Z
dc.descriptionA conformal description of Poincare-Einstein manifolds is developed: these structures are seen to be a special case of a natural weakening of the Einstein condition termed an almost Einstein structure. This is used for two purposes: to shed light on the relationship between the scattering construction of Graham-Zworski and the higher order conformal Dirichlet-Neumann maps of Branson and the author; to sketch a new construction of non-local (Dirichlet-to-Neumann type) conformal operators between tensor bundles.
dc.descriptionThis is a contribution to the Proceedings of the 2007 Midwest Geometry Conference in honor of Thomas P. Branson, published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/
dc.identifierhttps://arxiv.org/abs/0710.2585
dc.identifierhttp://arxiv.org/abs/0710.2585
dc.identifierSIGMA 3 (2007), 100, 21 pages
dc.identifierdoi:10.3842/SIGMA.2007.100
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/159615
dc.subjectDifferential Geometry
dc.subjectMathematical Physics
dc.subject58J40, 53A30 (Primary) 58J32 (Secondary)
dc.titleConformal Dirichlet-Neumann Maps and Poincaré-Einstein Manifolds
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