The classification of Lagrangian bundles over surfaces

DOI10.1016/S0926-2245(96)00024-1zbMath0921.58018OpenAlexW1969506193WikidataQ115337664 ScholiaQ115337664MaRDI QIDQ1356792

K. N. Mishachev

Publication date: 26 September 1999

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

Full work available at URL: https://doi.org/10.1016/s0926-2245(96)00024-1

zbMATH Keywords

2-torusglobal action-angle coordinatesLiouville-Arnold theoremcompact fibrefiberwise symplectomorphismLagrangian bundlelattice on a manifold

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items

Universal Lagrangian bundles, Classification of Lagrangian fibrations over a Klein bottle, Poisson manifolds of strong compact type over 2-tori, Local torus actions modeled on the standard representation, Integral affine 3-manifolds

Cites Work

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• Classification of \(T^ 2-bundles\) over \(T^ 2\)
• Rigidité symplectique dans le cotangent de \(T^ n\). (Symplectic rigidity on the cotangent bundle of \(T^ n)\)
• Affine manifolds with nilpotent holonomy
• Symplectic structures on \(T^ 2\)-bundles over \(T^ 2\)
• On the existence of a connection with curvature zero
• New Invariants of Open Symplectic and Contact Manifolds
• On global action-angle coordinates
• Shorter Notes: Some Simple Examples of Symplectic Manifolds