Codimension one symplectic foliations and regular Poisson structures

DOI10.1007/s00574-011-0031-6zbMath1244.53093arXiv1009.1175OpenAlexW2964116162MaRDI QIDQ420560

Eva Miranda, Ana Rita Pires, Victor W. Guillemin

Publication date: 22 May 2012

Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.1175

zbMATH Keywords

Poisson manifoldscosymplectic manifoldssymplectic foliations

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Poisson manifolds; Poisson groupoids and algebroids (53D17) Foliations (differential geometric aspects) (53C12)

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Cites Work

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• Symplectic and Poisson geometry on \( b\)-manifolds
• Closed forms on symplectic fibre bundles
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• Modular classes of Lie algebroid morphisms
• Existence of codimension-one foliations
• The modular automorphism group of a Poisson manifold
• Integrability of Lie brackets
• Integrability of Poisson brackets
• Poisson manifolds, Lie algebroids, modular classes: a survey
• FOLIATIONS ASSOCIATED TO REGULAR POISSON STRUCTURES
• On Coisotropic Imbeddings of Presymplectic Manifolds
• Codimension one foliations of flat $ 3$-manifolds
• Transverse measures, the modular class and a cohomology pairing for Lie algebroids

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