A Generalization of Poisson-Nijenhuis Structures
Symplectic Geometry
2016-08-16 v1 Differential Geometry
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.
Cite
@article{arxiv.math/0102046,
title = {A Generalization of Poisson-Nijenhuis Structures},
author = {Aïssa Wade},
journal= {arXiv preprint arXiv:math/0102046},
year = {2016}
}
Comments
21 pages, LateX