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On Quasi-Jacobi and Jacobi-Quasi Bialgebroids

โœ Scribed by J. M. Nunes da Costa; F. Petalidou

Publisher
Springer
Year
2007
Tongue
English
Weight
163 KB
Volume
80
Category
Article
ISSN
0377-9017

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๐Ÿ“œ SIMILAR VOLUMES

Generalized Lie bialgebroids and Jacobi
Generalized Lie bialgebroids and Jacobi structures
โœ David Iglesias; Juan C. Marrero ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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

Jacobi groupoids and generalized Lie bia
Jacobi groupoids and generalized Lie bialgebroids
โœ David Iglesias-Ponte; Juan C. Marrero ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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.