Modular classes of Poisson-Nijenhuis Lie algebroids
Raquel Caseiro
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.
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