Compatible Lie algebroids and the periodic Toda lattice

DOI10.1016/S0393-0440(99)00070-4zbMath0990.37050MaRDI QIDQ5931236

Attilio Meucci

Publication date: 17 August 2002

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

zbMATH Keywords

Lie algebroidsToda latticebi-Hamiltonian manifoldsMarsden-Ratiu reduction

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Poisson manifolds; Poisson groupoids and algebroids (53D17) Topological groupoids (including differentiable and Lie groupoids) (22A22)

Related Items (3)

A trihamiltonian extension of the Toda lattice ⋮ Lattice Geometry of the Discrete Darboux, KP, BKP and CKP Equations. Menelaus' and Carnot's Theorems ⋮ REDUCTION OF LIE ALGEBROID STRUCTURES

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Reduction of Poisson manifolds
• Completely integrable systems, Euclidean Lie algebras, and curves
• Theory of nonlinear lattices.
• Fractional powers of operators and Hamiltonian systems
• Bihamiltonian geometry, Darboux coverings, and linearization of the KP hierarchy
• On the Euler equation: Bi-Hamiltonian structure and integrals in involution
• Bihamiltonian Geometry and Separation of Variables for Toda Lattices
• R-matrix theory, formal Casimirs and the periodic Toda lattice

This page was built for publication: Compatible Lie algebroids and the periodic Toda lattice