Deux remarques sur les flots Riemanniens. (Two remarks on Riemannian flows)

DOI10.1007/BF01168350zbMath0585.53026MaRDI QIDQ1070546

Vlad Sergiescu, Pierre Molino

Publication date: 1985

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155068

zbMATH Keywords

basic cohomologyRiemannian foliationsRiemannian flowMolino structure theorysection of a flow

Mathematics Subject Classification ID

Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Foliations (differential geometric aspects) (53C12) Foliations in differential topology; geometric theory (57R30)

Related Items (24)

Sasakian structures a foliated approach ⋮ Flots riemanniens sur les 4-variétés compactes. (Riemannian flows on compact 4-manifolds) ⋮ Poincaré duality of the basic intersection cohomology of a Killing foliation ⋮ Compact leaves in minimal Riemannian foliations ⋮ Spectral sequences and taut Riemannian foliations ⋮ Reducibility in Sasakian geometry ⋮ Cohomology of horizontal forms ⋮ Localization of Chern-Simons type invariants of Riemannian foliations ⋮ Lie foliations transversely modeled on nilpotent Lie algebras ⋮ Hard Lefschetz property for isometric flows ⋮ Einstein manifolds and contact geometry ⋮ Tenseness of Riemannian flows ⋮ Deformation of Sasakian metrics ⋮ A characterization of Riemannian flows ⋮ Unimodular Lie foliations ⋮ Equivariant cohomology of \(K\)-contact manifolds ⋮ Collapsing, spectrum, and Diophantine properties of Riemannian flows ⋮ On Lorentzian manifolds with highest first Betti number ⋮ Foliated G-structures and Riemannian foliations ⋮ On Riemannian foliations with minimal leaves ⋮ The basic component of the mean curvature of Riemannian foliations ⋮ On Molino lifting of Riemannian vector fields ⋮ Transverse Kähler holonomy in Sasaki geometry and \(\mathcal{S}\)-stability ⋮ Cohomological tautness for Riemannian foliations

Cites Work

• Classification des feuilletages totalement géodésiques de codimension un
• La cohomologie basique d'un feuilletage riemannien est de dimension finie
• Cohomologie basique et dualité des feuilletages riemanniens
• Some remarks on foliations with minimal leaves
• Cycles for the dynamical study of foliated manifolds and complex manifolds
• Foliated manifolds with bundle-like metrics
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