Do Killing-Yano tensors form a Lie Algebra?

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dc.creatorKastor, David
dc.creatorRay, Sourya
dc.creatorTraschen, Jennie
dc.date2007-05-03
dc.date.accessioned2026-07-07T10:35:45Z
dc.date.available2026-07-07T10:35:45Z
dc.descriptionKilling-Yano tensors are natural generalizations of Killing vectors. We investigate whether Killing-Yano tensors form a graded Lie algebra with respect to the Schouten-Nijenhuis bracket. We find that this proposition does not hold in general, but that it does hold for constant curvature spacetimes. We also show that Minkowski and (anti)-deSitter spacetimes have the maximal number of Killing-Yano tensors of each rank and that the algebras of these tensors under the SN bracket are relatively simple extensions of the Poincare and (A)dS symmetry algebras.
dc.description17 pages
dc.identifierhttps://arxiv.org/abs/0705.0535
dc.identifierhttp://arxiv.org/abs/0705.0535
dc.identifierClass.Quant.Grav.24:3759-3768,2007
dc.identifierdoi:10.1088/0264-9381/24/14/014
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/179834
dc.subjectHigh Energy Physics - Theory
dc.titleDo Killing-Yano tensors form a Lie Algebra?
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