Modular classes of Poisson-Nijenhuis Lie algebroids
Differential Geometry
2009-11-13 v2 Mathematical Physics
math.MP
Abstract
The modular vector field of a Poisson-Nijenhuis Lie algebroid is defined and we prove that, in case of non-degeneracy, this vector field defines a hierarchy of bi-Hamiltonian -vector fields. This hierarchy covers an integrable hierarchy on the base manifold, which may not have a Poisson-Nijenhuis structure.
Cite
@article{arxiv.math/0701476,
title = {Modular classes of Poisson-Nijenhuis Lie algebroids},
author = {Raquel Caseiro},
journal= {arXiv preprint arXiv:math/0701476},
year = {2009}
}
Comments
To appear in Letters in Mathematical Physics