Singular Riemannian foliations on simply connected spaces

DOI10.1016/j.difgeo.2005.12.005zbMath1099.53023arXivmath/0411415OpenAlexW1975866201WikidataQ115357871 ScholiaQ115357871MaRDI QIDQ2507688

Marcos M. Alexandrino, Dirk Töben

Publication date: 5 October 2006

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0411415

zbMATH Keywords

orbifoldequifocal submanifoldspseudogroupspolar actionsisoparametric submanifoldssingular Riemannian foliations

Mathematics Subject Classification ID

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

Related Items (18)

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 ⋮ A panoramic glimpse of manifolds with sectional curvature bounded from below ⋮ Equifocality of a singular Riemannian foliation ⋮ Equifocal submanifolds in a symmetric space and the infinite dimensional geometry ⋮ Polar foliations and isoparametric maps ⋮ Polar foliations of symmetric spaces ⋮ On polar foliations and the fundamental group ⋮ Proofs of conjectures about singular Riemannian foliations ⋮ ON CLOSED GEODESICS IN THE LEAF SPACE OF SINGULAR RIEMANNIAN FOLIATIONS ⋮ Transverse LS category for Riemannian foliations ⋮ Horizontal diameter of unit spheres with polar foliations and infinitesimally polar actions ⋮ The dual foliation of some singular Riemannian foliations ⋮ Polar foliations on symmetric spaces and mean curvature flow

Cites Work

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• Riemannian foliations. With appendices by G. Cairns, Y. Carrière, E. Ghys, E. Salem, V. Sergiescu
• Critical point theory and submanifold geometry
• Polar actions on rank-one symmetric spaces.
• Singular Riemannian foliations with sections
• Integrable Riemannian submersion with singularities
• Submanifold geometry in symmetric spaces
• A classification of hyperpolar and cohomogeneity one actions

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