paper

A Generalization of Poisson-Nijenhuis Structures

arXiv:math/0102046 · doi:10.1016/S0393-0440(01)00015-8

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.

21 pages, LateX

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