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Modular classes of Poisson-Nijenhuis Lie algebroids

Raquel Caseiro
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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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BibTeXRIS

Raquel Caseiro. 2007-05-18. Modular classes of Poisson-Nijenhuis Lie algebroids. https://doi.org/10.1007/s11005-007-0164-0

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