Symplectic linearization of singular Lagrangian foliations in \(M^{4}\).

DOI10.1016/S0926-2245(02)00147-XzbMath1040.53035WikidataQ115338099 ScholiaQ115338099MaRDI QIDQ1405256

Eva Miranda, Carlos Currás-Bosch

Publication date: 25 August 2003

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

zbMATH Keywords

integrable Hamiltonian systemsymplectic manifoldHamiltonian \(S^{1}\)-actionsingular Lagrangian foliation

Mathematics Subject Classification ID

Related Items (13)

Convexity of Singular Affine Structures and Toric-Focus Integrable Hamiltonian Systems ⋮ A b$b$‐symplectic slice theorem ⋮ Rigidity of cotangent lifts and integrable systems ⋮ Integrable systems and group actions ⋮ Polynomial entropies and integrable Hamiltonian systems ⋮ Infinitesimally stable and unstable singularities of 2-degrees of freedom completely integrable systems ⋮ Integrable systems, symmetries, and quantization ⋮ Cotangent models for integrable systems ⋮ Equivariant normal form for nondegenerate singular orbits of integrable Hamiltonian systems ⋮ Locally toric manifolds and singular Bohr-Sommerfeld leaves ⋮ A conceptual approach to the problem of action-angle variables ⋮ Smooth invariants of focus-focus singularities ⋮ SINGULAR COTANGENT MODEL

Cites Work

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• Normal forms for Hamiltonian systems with Poisson commuting integrals - elliptic case
• Le lemme de Morse isochore
• An example of classification of germs of Lagrangian foliations in the neighbourhood of a compact leaf
• Symplectic manifolds and their Lagrangian submanifolds
• Holonomie, suspensions et classifications pour les feuilletages lagrangiens

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