Induction for weak symplectic Banach manifolds

DOI10.1016/j.geomphys.2008.01.003zbMath1145.53061OpenAlexW2147012725MaRDI QIDQ931157

Anatol Odzijewicz, Tudor S. Ratiu

Publication date: 25 June 2008

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

Full work available at URL: https://doi.org/10.1016/j.geomphys.2008.01.003

zbMATH Keywords

Hamiltonian vector fieldBanach spacesymplectic manifoldBanach Lie-Poisson space

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Applications of differential geometry to physics (53Z05) Poisson manifolds; Poisson groupoids and algebroids (53D17) Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Applications of functional analysis to differential and integral equations (46N20) Infinite-dimensional manifolds (46T05)

Related Items (3)

Integrability of weak distributions on Banach manifolds ⋮ Almost Lie structures on an anchored Banach bundle ⋮ Banach Poisson-Lie groups and Bruhat-Poisson structure of the restricted Grassmannian

Cites Work

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• Induced representations and induced Hamiltonian actions
• Pukanszky's condition and symplectic induction
• Induced and coinduced Banach Lie-Poisson spaces and integrability
• Reduction of symplectic manifolds with symmetry
• A universal phase space for particles in Yang-Mills fields
• Banach Lie-Poisson spaces and reduction
• The Toda lattice. II. Existence of integrals
• Theory of operator algebras I.

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