Generalized Lie bialgebroids and Jacobi structures
نویسندگان
چکیده
منابع مشابه
Generalized Lie Bialgebroids and Jacobi Structures
The notion of a generalized Lie bialgebroid (a generalization of the notion of a Lie bialgebroid) is introduced in such a way that a Jacobi manifold has associated a canonical generalized Lie bialgebroid. As a kind of converse, we prove that a Jacobi structure can be defined on the base space of a generalized Lie bialgebroid. We also show that it is possible to construct a Lie bialgebroid from ...
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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 ...
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ژورنال
عنوان ژورنال: Journal of Geometry and Physics
سال: 2001
ISSN: 0393-0440
DOI: 10.1016/s0393-0440(01)00032-8