scientific article; zbMATH DE number 806504

zbMath0854.53031MaRDI QIDQ4851971

Hassan Boualem

Publication date: 21 November 1995

Full work available at URL: http://www.numdam.org/item?id=CM_1995__95_1_101_0

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zbMATH Keywords

decomposition theoremsingular Riemannian foliationsections of group actionstransverse integrability

Mathematics Subject Classification ID

Compact Lie groups of differentiable transformations (57S15) Global Riemannian geometry, including pinching (53C20) Foliations (differential geometric aspects) (53C12) Foliations in differential topology; geometric theory (57R30)

Related Items (15)

Singular Riemannian foliations with sections, transnormal maps and basic forms ⋮ Geometric resolution of singular Riemannian foliations ⋮ Desingularization of singular Riemannian foliation ⋮ Progress in the theory of singular Riemannian foliations ⋮ Singular Riemannian foliations and isoparametric submanifolds ⋮ Polar manifolds and actions ⋮ Equifocality of a singular Riemannian foliation ⋮ Parallel focal structure and singular Riemannian foliations ⋮ Proofs of conjectures about singular Riemannian foliations ⋮ The equivariant LS-category of polar actions ⋮ Almost isometric singular foliations ⋮ From isoparametric submanifolds to polar foliations ⋮ Geometry--5 ⋮ Foliations, submanifolds, and mixed curvature ⋮ Low dimensional polar actions

Cites Work

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• Théorèmes de slice et holonomie des feuilletages riemanniens singuliers. (Slice theorems and holonomy of singular Riemannian foliations)
• A generalization of the Weyl group
• A general description of totally geodesic foliations
• Orthogonally transversal submanifolds and the generalizations of the Weyl group
• De Rham decomposition theorems for foliated manifolds
• Riemannian foliations. With appendices by G. Cairns, Y. Carrière, E. Ghys, E. Salem, V. Sergiescu
• Critical point theory and submanifold geometry
• A generalization of the closed subgroup theorem to quotients of arbitrary manifolds
• A class of variationally complete representations
• Variational completeness and \(K\)-transversal domains
• Polar Coordinates Induced by Actions of Compact Lie Groups
• Accessible Sets, Orbits, and Foliations with Singularities
• Orbits of Families of Vector Fields and Integrability of Distributions

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