Reduction of Jacobi manifolds via Dirac structures theory

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We 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.
18 pages

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Symplectic Geometry, Differential Geometry, 53D10, 53D17, 53D20, 58A30

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http://salesiana.dossiersoluciones.com/handle/123456789/73555

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0412221
 http://arxiv.org/abs/math/0412221

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arXiv