We propose a definition of Jacobi-Nijenhuis structures, that includes the Poisson-Nijenhuis structures as a particular case. The existence of a hierarchy of compatible Jacobi structures on a Jacobi-Nijenhuis manifold is also obtained. © 1999 Acad6mie des sciences/l~ditions scientifiques et m6dicales
Prequantizable Poisson manifolds and Jacobi structures
✍ Scribed by Chinea, Domingo; Marrero, Juan C; León, Manuel de
- Book ID
- 115506399
- Publisher
- Institute of Physics
- Year
- 1996
- Tongue
- English
- Weight
- 155 KB
- Volume
- 29
- Category
- Article
- ISSN
- 0305-4470
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## Abstract We characterize Poisson and Jacobi structures by means of complete lifts of the corresponding tensors: the lifts have to be related to canonical structures by morphisms of corresponding vector bundles. Similar results hold for generalized Poisson and Jacobi structures (canonical structu
After a brief review on the basic notions and the principal results concerning the Jacobi manifolds, the relationship between homogeneous Poisson manifolds and conformal Jacobi manifolds, and also the compatible Jacobi manifolds, we give a generalization of some of these results needed for the conte