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Higher symmetries of the conformal powers of the Laplacian on conformally flat manifolds

Gover, A. Rod; Šilhan, Josef

Description

On locally conformally flat manifolds, we describe a construction which maps generalised conformal Killing tensors to differential operators which may act on any conformally weighted tensor bundle; the operators in the range have the property that they are symmetries of any natural conformally invariant differential operator between such bundles. These are used to construct all symmetries of the conformally invariant powers of the Laplacian (often called the GJMS operators) on manifolds of...[Show more]

CollectionsANU Research Publications
Date published: 2012-03-21
Type: Journal article
URI: http://hdl.handle.net/1885/15616
Source: Journal of Mathematical Physics
DOI: 10.1063/1.3692324

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