The canonical connection of a bi-Lagrangian manifold

DOI10.1088/0305-4470/34/5/304zbMath0990.53081OpenAlexW2042292767MaRDI QIDQ2716219

Rafael Santamaría, Fernando Etayo Gordejuela

Publication date: 6 June 2001

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/34/5/304

zbMATH Keywords

Kähler manifoldsymplectic manifoldLagrangian foliationLagrangian distributionbi-Lagrangian manifold

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Foliations (differential geometric aspects) (53C12) Lagrangian submanifolds; Maslov index (53D12) Connections (general theory) (53C05)

Related Items (12)

Infinite lifting of an action of symplectomorphism group on the set of bi-Lagrangian structures ⋮ Lagrangian distributions and connections in multisymplectic and polysymplectic geometry ⋮ Bi-Lagrangian structures on nilmanifolds ⋮ On deformations of D-manifolds and CR D-manifolds ⋮ A COHOMOLOGICAL CONSTRUCTION OF MODULES OVER FEDOSOV DEFORMATION QUANTIZATION ALGEBRA ⋮ Lagrangian foliations and Anosov symplectomorphisms on Kähler manifolds ⋮ Poisson geometry and deformation quantization near a strictly pseudoconvex boundary ⋮ Complex product structures and affine foliations ⋮ The geometry of a bi-Lagrangian manifold ⋮ Some remarks on the generalized Tanaka-Webster connection of a contact metric manifold ⋮ Five-dimensional paracontact Lie algebras ⋮ Local invariants of divergence-free webs

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