Lagrangian foliations and Lax equations

DOI10.1007/BF00400715zbMath0578.58017MaRDI QIDQ1066536

Yvette Kosmann-Schwarzbach

Publication date: 1985

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Hamiltonian vector fieldsymplectic structuresLax equationlocally HamiltonianLagrangian foliation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Foliations in differential topology; geometric theory (57R30)

Related Items (1)

Compatibility of symplectic structures adapted to noncommutatively integrable systems

Cites Work

• Unnamed Item
• On Lax equations arising from Lagrangian foliations
• On the pairing of polarizations
• Symplectic manifolds and their Lagrangian submanifolds
• A simple model of the integrable Hamiltonian equation

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