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arXiv · hep-th/9707032

Generalized Jacobi structures

J. C. Perez Bueno
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Abstract

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.

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BibTeXRIS

J. C. Perez Bueno. 1997-07-02. Generalized Jacobi structures. https://doi.org/10.1088/0305-4470%2F30%2F18%2F024

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