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A Generalization of Poisson-Nijenhuis Structures

Aïssa Wade
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Abstract

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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Aïssa Wade. 2001-02-06. A Generalization of Poisson-Nijenhuis Structures. https://doi.org/10.1016/s0393-0440(01)00015-8

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