Omni-Lie algebroids

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dc.creatorChen, Z.
dc.creatorLiu, Z. -J.
dc.date2007-10-10
dc.date.accessioned2026-07-07T08:35:21Z
dc.date.available2026-07-07T08:35:21Z
dc.descriptionA generalized Courant algebroid structure is defined on the direct sum bundle D(E) +J(E), where D(E) and J(E) are the gauge Lie algebroid and the jet bundle of a vector bundle E respectively. Such a structure is called an omni-Lie algebroid since it is reduced to the omni-Lie algebra introduced by A.Weinstein if the base manifold is a point. We prove that any Lie algebroid structure on E is characterized by a Dirac structure as the graph of a bundle map from J(E) to D(E).
dc.description15 pages, no figure
dc.identifierhttps://arxiv.org/abs/0710.1923
dc.identifierhttp://arxiv.org/abs/0710.1923
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/139722
dc.subjectMathematical Physics
dc.subjectSymplectic Geometry
dc.subject17B66
dc.titleOmni-Lie algebroids
dc.typetext

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