Cohomologie basique et dualité des feuilletages riemanniens

DOI10.5802/aif.1022zbMath0563.57012OpenAlexW2323200118MaRDI QIDQ1057550

Vlad Sergiescu

Publication date: 1985

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1985__35_3_137_0

zbMATH Keywords

currentsPoincaré duality for basic cohomology of Riemannian foliations

Mathematics Subject Classification ID

de Rham theory in global analysis (58A12) Foliations (differential geometric aspects) (53C12) Foliations in differential topology; geometric theory (57R30) Currents in global analysis (58A25)

Related Items (19)

Poincaré duality of the basic intersection cohomology of a Killing foliation ⋮ Leaf closures of Riemannian foliations: a survey on topological and geometric aspects of Killing foliations ⋮ Cohomology of horizontal forms ⋮ Localization of Chern-Simons type invariants of Riemannian foliations ⋮ The basic signature is a foliated homotopy invariant ⋮ Cohomological localization for transverse Lie algebra actions on Riemannian foliations ⋮ Equivariant formality of Hamiltonian transversely symplectic foliations ⋮ A Thom isomorphism in foliated de Rham theory ⋮ Localization of basic characteristic classes ⋮ Tenseness of Riemannian flows ⋮ Properties of the basic cohomology of transversely Kähler foliations ⋮ Unimodular Lie foliations ⋮ The basic component of the mean curvature of Riemannian foliations ⋮ A finiteness theorem for transitive foliations and flat vector bundles ⋮ Cohomological tautness for Riemannian foliations ⋮ A general description of totally geodesic foliations ⋮ Some properties of a cohomology group associated to a totally geodesic foliation ⋮ Deux remarques sur les flots Riemanniens. (Two remarks on Riemannian flows) ⋮ Décomposition de Hodge basique pour les feuilletages riemanniens

Cites Work

• La cohomologie basique d'un feuilletage riemannien est de dimension finie
• Décomposition de Hodge basique pour les feuilletages riemanniens
• Some remarks on foliations with minimal leaves
• Cohomology of Lie algebras
• Harmonic Integrals on Foliated Manifolds
• Étude des feuilletages transversalement complets et applications
• Small denominators. I. Mappings of the circumference onto itself
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