English

On the modular classes of Poisson-Nijenhuis manifolds

Symplectic Geometry 2007-05-23 v1

Abstract

We prove a property of the Poisson-Nijenhuis manifolds which yields new proofs of the bihamiltonian properties of the hierarchy of modular vector fields defined by Damianou and Fernandes.

Keywords

Cite

@article{arxiv.math/0611202,
  title  = {On the modular classes of Poisson-Nijenhuis manifolds},
  author = {Yvette Kosmann-Schwarzbach and Franco Magri},
  journal= {arXiv preprint arXiv:math/0611202},
  year   = {2007}
}

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7 pages