Reduction of Jacobi manifolds via Dirac structures theory

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dc.creatorPetalidou, Fani
dc.creatorda Costa, Joana M. Nunes
dc.date2004-12-11
dc.date.accessioned2026-07-07T05:15:12Z
dc.date.available2026-07-07T05:15:12Z
dc.descriptionWe first recall some basic definitions and facts about Jacobi manifolds, generalized Lie bialgebroids, generalized Courant algebroids and Dirac structures. We establish an one-one correspondence between reducible Dirac structures of the generalized Lie bialgebroid of a Jacobi manifold $(M,Λ,E)$ for which 1 is an admissible function and Jacobi quotient manifolds of $M$. We study Jacobi reductions from the point of view of Dirac structures theory and we present some examples and applications.
dc.description18 pages
dc.identifierhttps://arxiv.org/abs/math/0412221
dc.identifierhttp://arxiv.org/abs/math/0412221
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73555
dc.subjectSymplectic Geometry
dc.subjectDifferential Geometry
dc.subject53D10, 53D17, 53D20, 58A30
dc.titleReduction of Jacobi manifolds via Dirac structures theory
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