Coupling symmetries with Poisson structures

DOI10.1007/s40306-013-0008-1zbMath1271.53074arXiv1301.1329OpenAlexW2091690678MaRDI QIDQ356529

Camille Laurent-Gengoux, Eva Miranda

Publication date: 26 July 2013

Published in: Acta Mathematica Vietnamica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.1329

zbMATH Keywords

Lie algebraintegrable Hamiltonian systemPoisson manifoldscompact Lie groupsequivariant Caratheodory-Jacobi-Lie theoremWeinstein's splitting theorem

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Poisson manifolds; Poisson groupoids and algebroids (53D17)

Related Items (3)

Integrable systems and group actions ⋮ Open problems, questions and challenges in finite- dimensional integrable systems ⋮ Cotangent models for integrable systems

Cites Work

• The local structure of Poisson manifolds
• A geometric approach to Conn's linearization theorem
• Rigidity of Hamiltonian actions on Poisson manifolds
• A note on equivariant normal forms of Poisson structures
• The Gelfand-Cetlin system and quantization of the complex flag manifolds
• Normal forms for smooth Poisson structures
• Le problème général des variables actions-angles. (The general problem of action-angle variables)
• Compact groups of differentiable transformations
• Poisson Structures
• Action-angle Coordinates for Integrable Systems on Poisson Manifolds
• MOMENTUM MAPPINGS AND POISSON COHOMOLOGY
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