Ehresmann connections for Lagrangian foliations

DOI10.1016/0393-0440(94)00049-2zbMath0841.53025OpenAlexW2011158326MaRDI QIDQ1907140

Robert A. Wolak

Publication date: 29 January 1996

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

Full work available at URL: https://doi.org/10.1016/0393-0440(94)00049-2

zbMATH Keywords

Lagrangian foliationEhresmann connection

Mathematics Subject Classification ID

General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Foliations in differential topology; geometric theory (57R30) Connections (general theory) (53C05)

Related Items (5)

Unnamed Item ⋮ Local structure of Koszul-Vinberg and of Lie algebroids ⋮ Geometry--5 ⋮ Foliations, submanifolds, and mixed curvature ⋮ Affine structures and KV-cohomology

Cites Work

• Dualité symplectique, feuilletages et géometrie du moment. (Symplectic duality, foliations and moment geometry)
• Affine manifolds with nilpotent holonomy
• A general description of totally geodesic foliations
• Le graphe d'un feuilletage admettant un système transverse d'équations différentielles. (The graph of a foliation admitting a transverse system of differential equations)
• A topological obstruction to the geodesibility of a foliation of odd dimension
• Lectures on geometric quantization
• Autour de la conjecture de L. Markus sur les variétés affines. (Around the conjecture of L. Markus on affine manifolds)
• Symplectic manifolds and their Lagrangian submanifolds
• TRANSVERSELY AFFINE FOLIATIONS COMPARED WITH AFFINE MANIFOLDS
• COMPLEMENTARY DISTRIBUTIONS WHICH PRESERVE THE LEAF GEOMETRY AND APPLICATIONS TO TOTALLY GEODESIC FOLIATIONS
• Affine Manifolds and Orbits of Algebraic Groups
• A Sufficient Condition that a Mapping of Riemannian Manifolds be a Fibre Bundle
• Closure of Leaves in Transversely Affine Foliations
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