Théorèmes de slice et holonomie des feuilletages riemanniens singuliers. (Slice theorems and holonomy of singular Riemannian foliations)

DOI10.5802/aif.1118zbMath0625.57016OpenAlexW2077893121MaRDI QIDQ579680

M. Pierrot, Pierre Molino

Publication date: 1987

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

Full work available at URL: http://www.numdam.org/item?id=AIF_1987__37_4_207_0

zbMATH Keywords

Riemannian foliationclosure of leavesSatake varietyspace of leavestransverse fields

Mathematics Subject Classification ID

Foliations (differential geometric aspects) (53C12) Foliations in differential topology; geometric theory (57R30)

Related Items (5)

Progress in the theory of singular Riemannian foliations ⋮ Singular Riemannian flows and characteristic numbers ⋮ Morphisms between complete Riemannian pseudogroups ⋮ Proofs of conjectures about singular Riemannian foliations ⋮ Unnamed Item

Cites Work

• The Gauss-Bonnet theorem for \(V\)-manifolds
• A general description of totally geodesic foliations
• Orthogonally transversal submanifolds and the generalizations of the Weyl group
• Lifting smooth homotopies of orbit spaces
• De Rham decomposition theorems for foliated manifolds
• Adherences d'orbite et invariants
• Variational completeness and \(K\)-transversal domains
• Foliated manifolds with bundle-like metrics
• Accessible Sets, Orbits, and Foliations with Singularities
• Orbits of Families of Vector Fields and Integrability of Distributions
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