Modular classes of Poisson-Nijenhuis Lie algebroids

Abstract

The modular vector field of a Poisson-Nijenhuis Lie algebroid $A$ is defined and we prove that, in case of non-degeneracy, this vector field defines a hierarchy of bi-Hamiltonian $A$-vector fields. This hierarchy covers an integrable hierarchy on the base manifold, which may not have a Poisson-Nijenhuis structure.

To appear in Letters in Mathematical Physics

Cited by in corpus (1)

• Jacobi-Nijenhuis algebroids and their modular classes