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Exact lie bialgebroids and poisson groupoids

✍ Scribed by Z. -J. Liu; P. Xu

Publisher
Springer
Year
1996
Tongue
English
Weight
391 KB
Volume
6
Category
Article
ISSN
1016-443X

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πŸ“œ SIMILAR VOLUMES

Jacobi groupoids and generalized Lie bia
Jacobi groupoids and generalized Lie bialgebroids
✍ David Iglesias-Ponte; Juan C. Marrero πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 357 KB

Jacobi groupoids are introduced as a generalization of Poisson and contact groupoids and it is proved that generalized Lie bialgebroids are the infinitesimal invariants of Jacobi groupoids. Several examples are discussed.

Generalized Lie bialgebroids and Jacobi
Generalized Lie bialgebroids and Jacobi structures
✍ David Iglesias; Juan C. Marrero πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 182 KB

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 g