Nambu-Dirac Structures on Lie Algebroids

Simple item page
dc.creatorWade, Aissa
dc.date2002-04-25
dc.date2005-09-06
dc.date.accessioned2026-07-07T04:48:05Z
dc.date.available2026-07-07T04:48:05Z
dc.descriptionThe theory of Nambu-Poisson structures on manifolds is extended to the context of Lie algebroids, in a natural way based on the Vinogradov bracket associated with Lie algebroid cohomology. We show that, under certain assumptions, any Nambu-Poisson structure on a Lie algebroid is decomposable.Also, we introduce the concept of a higher order Dirac structure on a Lie algebroid. This allows to describe both Nambu-Poisson structures on Lie algebroids and Dirac structures on manifolds in the same setting.
dc.descriptionminor corrections
dc.identifierhttps://arxiv.org/abs/math/0204310
dc.identifierhttp://arxiv.org/abs/math/0204310
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/63913
dc.subjectSymplectic Geometry
dc.subjectMathematical Physics
dc.titleNambu-Dirac Structures on Lie Algebroids
dc.typetext

Files

Collections

arXiv