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Jacobi groupoids and generalized Lie bialgebroids

✍ Scribed by David Iglesias-Ponte; Juan C. Marrero

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
357 KB
Volume
48
Category
Article
ISSN
0393-0440

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✦ Synopsis

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.

πŸ“œ SIMILAR VOLUMES

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