On conformally invariant differential operators

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dc.creatorAlexakis, Spyros
dc.date2006-08-31
dc.date2007-03-29
dc.date.accessioned2026-07-07T07:54:57Z
dc.date.available2026-07-07T07:54:57Z
dc.descriptionWe construct new families of conformally invariant differential operators acting on densities. We introduce a simple, direct approach which shows that all such operators arise via this construction when the degree is bounded by the dimension. The method relies on a study of well-known transformation laws and on Weyl's theory regarding identities holding ``formally'' vs. ``by substitution''. We also illustrate how this new method can strengthen existing results in the parabolic invariant theory for conformal geometries.
dc.description50 pages, revised version
dc.identifierhttps://arxiv.org/abs/math/0608771
dc.identifierhttp://arxiv.org/abs/math/0608771
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/126810
dc.subjectDifferential Geometry
dc.subject53A30; 53A55
dc.titleOn conformally invariant differential operators
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