Generalized Lie bialgebroids and Jacobi structures

Details Generalized Lie bialgebroids and Jacobi structures Generalized Lie bialgebroids and Jacobi structures

2000-08-15

arxiv.org/abs/math/0008105v1

Mathematics

Differential Geometry

32 pages

Scientific paper

10.1016/S0393-0440(01)00032-8

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 a generalized Lie bialgebroid and, as a consequence, we deduce a duality theorem. Finally, some special classes of generalized Lie bialgebroids are considered: triangular generalized Lie bialgebroids and generalized Lie bialgebras.

Affiliated with

Also associated with

No associations

Rating

Generalized Lie bialgebroids and Jacobi structures does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Generalized Lie bialgebroids and Jacobi structures, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Generalized Lie bialgebroids and Jacobi structures will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-601142