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arXiv · 0710.2585

Conformal Dirichlet-Neumann Maps and Poincaré-Einstein Manifolds

A. Rod Gover
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Abstract

A 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.

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A. Rod Gover. 2007-10-21. Conformal Dirichlet-Neumann Maps and Poincaré-Einstein Manifolds. https://doi.org/10.3842/sigma.2007.100

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