Generalized Jacobi structures
Abstract
Description
Jacobi brackets (a generalization of standard Poisson brackets in which Leibniz's rule is replaced by a weaker condition) are extended to brackets involving an arbitrary (even) number of functions. This new structure includes, as a particular case, the recently introduced generalized Poisson structures. The linear case on simple group manifolds is also studied and non-trivial examples (different from those coming from generalized Poisson structures) of this new construction are found by using the cohomology ring of the given group.
Latex2e file. 11 pages. To appear in J. Phys. A
Latex2e file. 11 pages. To appear in J. Phys. A