2004/12/11 by Fani Petalidou, Petalidou, Fani, Joana M. Nunes da Costa +1
Mathematics · #53D10 #53D17 #53D20 #58A30 #Differential Geometry (math.DG) #FOS: Mathematics #Symplectic Geometry (math.SG) #math.DG #math.SG #msc:53D10 #msc:53D17 #msc:53D20 #msc:58A30
paper · pdf · doi:10.48550/arxiv.math/0412221
18 pages
arxiv created 2004/12/11 · arxiv updated 2009/12/01
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.