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https://hdl.handle.net/10316/11308| Title: | Modular classes of Poisson-Nijenhuis Lie algebroids | Authors: | Caseiro, Raquel | Keywords: | Poisson-Nijenhuis structures; Lie algebroids; Modular vector fields; Integrable hierarchies | Issue Date: | 2007 | Publisher: | Centro de Matemática da Universidade de Coimbra | Citation: | Pré-Publicações DMUC. 07-04 (2007) | 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. | URI: | https://hdl.handle.net/10316/11308 | Rights: | openAccess |
| Appears in Collections: | FCTUC Matemática - Vários |
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|---|---|---|---|---|
| Modular classes of Poisson-Nijenhuis Lie algebroids.pdf | 222.76 kB | Adobe PDF | View/Open |
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