A Generalization of Poisson-Nijenhuis Structures

Details A Generalization of Poisson-Nijenhuis Structures A Generalization of Poisson-Nijenhuis Structures

2001-02-06

arxiv.org/abs/math/0102046v1

Mathematics

Symplectic Geometry

21 pages, LateX

Scientific paper

10.1016/S0393-0440(01)00015-8

We generalize Poisson-Nijenhuis structures. We prove that on a manifold
endowed with a Nijenhuis tensor and a Jacobi structure which are compatible,
there is a hierarchy of pairwise compatible Jacobi structures.
Furthermore, we study the homogeneous Poisson-Nijenhuis structures and their
relations with Jacobi structures.

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