On the modular classes of Poisson-Nijenhuis manifolds

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.

7 pages

Cited by in corpus (6)

• Holomorphic Poisson Manifolds and Holomorphic Lie Algebroids
• Poisson Manifolds, Lie Algebroids, Modular Classes: a Survey
• Jacobi-Nijenhuis algebroids and their modular classes
• The Van den Bergh duality and the modular symmetry of a Poisson variety
• Nijenhuis operator in contact homology and descendant recursion in symplectic field theory
• Compatible structures on Lie algebroids and Monge-Ampère operators