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Boundary Calculus for Conformally Compact Manifolds

Gover, Rod; Waldron, Andrew

Description

On conformally compactmanifolds of arbitrary signature, we use conformal geometry to identify a natural (and very general) class of canonical boundary problems. It turns out that these encompass and extend aspects of already-known holographic bulk-boundary problems, the conformal scattering description of boundary conformal invariants, and corresponding questions surrounding a range of physical bulk wave equations. These problems are then simultaneously solved asymptotically to all orders by a...[Show more]

CollectionsANU Research Publications
Date published: 2014
Type: Journal article
URI: http://hdl.handle.net/1885/69348
Source: Indiana University Mathematics Journal
DOI: 10.1512/iumj.2014.63.5057

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