Poisson-Nijenhuis structures and the Vinogradov bracket

DOI10.1007/BF02108287zbMath0828.58015MaRDI QIDQ1892330

José V. Beltrán, Juan Monterde

Publication date: 14 January 1996

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

zbMATH Keywords

Poisson-Nijenhuis structureVinogradov bracket

Mathematics Subject Classification ID

Supermanifolds and graded manifolds (58A50) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Differential forms in global analysis (58A10) Differentiable manifolds, foundations (58A05)

Related Items (4)

Variational Poisson-Nijenhuis structures for partial differential equations ⋮ A generalization of Poisson-Nijenhuis structures ⋮ The Lie bialgebroid of a Poisson-Nijenhuis manifold ⋮ Star calculus on Jacobi manifolds.

Cites Work

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• Reduction techniques for infinite-dimensional Hamiltonian systems: some ideas and applications
• A differential complex for Poisson manifolds
• Extensions of the Poisson bracket to differential forms and multi-vector fields
• POISSON-NIJENHUIS STRUCTURES AND SATO HIERARCHY

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