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This article is cited in 23 scientific papers (total in 23 papers)
Conformal Dirichlet–Neumann Maps and Poincaré–Einstein Manifolds
A. Rod Gover Department of Mathematics, The University of Auckland, Private Bag 92019, Auckland 1, New Zealand
Abstract:
A conformal description of Poincaré–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.
Keywords:
conformal differential geometry; Dirichlet–to–Neumann maps.
Received: October 7, 2007; Published online October 21, 2007
Citation:
A. Rod Gover, “Conformal Dirichlet–Neumann Maps and Poincaré–Einstein Manifolds”, SIGMA, 3 (2007), 100, 21 pp.
Linking options:
https://www.mathnet.ru/eng/sigma226 https://www.mathnet.ru/eng/sigma/v3/p100
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Abstract page: | 234 | Full-text PDF : | 72 | References: | 22 |
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