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RESEARCH PRODUCT
Poisson-Nijenhuis structures and the Vinogradov bracket
Juan MonterdeJ. V. Beltransubject
Schouten–Nijenhuis bracketGraded Lie algebraAlgebraFrölicher–Nijenhuis bracketPoisson bracketAdjoint representation of a Lie algebraNonlinear Sciences::Exactly Solvable and Integrable SystemsMathematics::Quantum AlgebraPoisson manifoldLie bracket of vector fieldsLie derivativeMathematics::Differential GeometryGeometry and TopologyMathematics::Symplectic GeometryAnalysisMathematicsdescription
We express the compatibility conditions that a Poisson bivector and a Nijenhuis tensor must fulfil in order to be a Poisson-Nijenhuis structure by means of a graded Lie bracket. This bracket is a generalization of Schouten and Frolicher-Nijenhuis graded Lie brackets defined on multivector fields and on vector valued differential forms respectively.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1994-02-01 | Annals of Global Analysis and Geometry |