On the modular classes of Poisson-Nijenhuis manifolds

2006/11/07 by Yvette Kosmann–Schwarzbach, Yvette Kosmann-Schwarzbach, Kosmann-Schwarzbach, Yvette +2
Mathematics · #37K10 #53D17 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Symplectic Geometry (math.SG) #math.SG #msc:37K10 #msc:53D17

paper · pdf · doi:10.48550/arxiv.math/0611202

7 pages

arxiv created 2006/11/07 · openalex publication_date 2006/11/07 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Related

• Integrable hierarchies and the modular class
• Holonomy on Poisson Manifolds and the Modular Class
• The modular class of a Poisson map
• Kaehler-Nijenhuis Manifolds
• The modular class of a regular Poisson manifold and the Reeb invariant of its symplectic foliation