Reduction of Jacobi manifolds via Dirac structures theory

  • Petalidou F
  • Nunes da Costa J
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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. © 2005 Elsevier B.V. All rights reserved.

Author-supplied keywords

  • Dirac structures
  • Generalized Courant algebroids
  • Generalized Lie bialgebroids
  • Jacobi manifolds
  • Reduction

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  • Fani Petalidou

  • Joana M. Nunes da Costa

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