Transitive Lie algebroids of rank 1 and locally conformal symplectic structures.

DOI10.1016/S0393-0440(02)00128-6zbMath1034.53084MaRDI QIDQ1874077

Robert A. Wolak, Vitalij Kushnirevitch, Roman Kadobianski, Jan Kubarski

Publication date: 22 May 2003

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

zbMATH Keywords

Lie algebroidPoincaré duality

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17) Topological groupoids (including differentiable and Lie groupoids) (22A22) Pseudogroups and differentiable groupoids (58H05)

Related Items (3)

Nondegenerate cohomology pairing for transitive Lie algebroids, characterization ⋮ Chern–Simons forms for ℝ-linear connections on Lie algebroids ⋮ Locally conformally symplectic and Kähler geometry

Cites Work

• La cohomologie basique d'un feuilletage riemannien est de dimension finie
• Géométrie des algèbres de Lie locales de Kirillov
• Locally conformal symplectic manifolds
• Décomposition de Hodge basique pour les feuilletages riemanniens
• De Rham-Hodge theory for Riemannian foliations
• On the group of diffeomorphisms preserving a locally conformal symplectic structure
• Differentiable and algebroid cohomology, Van Est isomorphisms, and characteristic classes
• Poincaré duality for transitive unimodular invariantly oriented Lie algebroids
• Lie algebroids, holonomy and characteristic classes
• Duality and minimality in Riemannian foliations
• Reduction for locally conformal symplectic manifolds
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