Symplectic integration of regular Poisson manifolds.

DOI10.1007/BF02783210zbMath0833.58011arXivdg-ga/9407009MaRDI QIDQ1895075

Fernando Alcalde Cuesta, Gilbert Hector

Publication date: 18 September 1995

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/dg-ga/9407009

zbMATH Keywords

symplectic geometryintegrabilityPoisson manifolds

Mathematics Subject Classification ID

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

Related Items

Surface foliations, vanishing cycles and Poisson manifolds ⋮ Invariants of Lie algebroids ⋮ A Poisson manifold of strong compact type

Cites Work

• The local structure of Poisson manifolds
• Principal fibre bundles with the 1-dimensional toroidal group
• Groupoïde d'homotopie d'un feuilletage Riemannien et réalisation symplectique de certaines variétés de Poisson. (Homotopy groupoid of a Riemannian foliation and symplectic realization of certain Poisson manifolds)
• The holonomic imperative and the homotopy groupoid of a foliated manifold
• Coisotropic calculus and Poisson groupoids
• Une nouvelle obstruction à l'intégrabilité des variétés de Poisson régulières. (A new obstruction to the integrability of regular Poisson manifolds)
• Riemannian foliations. With appendices by G. Cairns, Y. Carrière, E. Ghys, E. Salem, V. Sergiescu
• ANALOGUES OF THE OBJECTS OF LIE GROUP THEORY FOR NONLINEAR POISSON BRACKETS
• Fibrations and Quotients of Differentiable Groupoids
• Symplectic groupoids and Poisson manifolds
• Quantization and unitary representations
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