Modular classes of Poisson-Nijenhuis Lie algebroids
classification
🧮 math.DG
math-phmath.MP
keywords
hierarchypoisson-nijenhuisvectorfieldmodularalgebroidalgebroidsbase
read the original 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.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.