Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9500477 | Differential Geometry and its Applications | 2005 | 23 Pages |
Abstract
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,Î,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.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Fani Petalidou, Joana M. Nunes da Costa,