Parallel focal structure and singular Riemannian foliations

DOI10.1090/S0002-9947-05-03829-8zbMath1085.53021arXivmath/0403050OpenAlexW2118601916WikidataQ115289090 ScholiaQ115289090MaRDI QIDQ5714402

Dirk Töben

Publication date: 2 January 2006

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0403050

zbMATH Keywords

foliationholonomyequifocal submanifoldssingular Riemannian foliationsparallel focal structure

Mathematics Subject Classification ID

Global submanifolds (53C40) Foliations (differential geometric aspects) (53C12) Foliations in differential topology; geometric theory (57R30)

Related Items (17)

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 ⋮ Closure of singular foliations: the proof of Molino’s conjecture ⋮ Singular Riemannian foliations and isoparametric submanifolds ⋮ Equifocality of a singular Riemannian foliation ⋮ Polar foliations and isoparametric maps ⋮ Polar foliations of symmetric spaces ⋮ On polar foliations and the fundamental group ⋮ Singular Riemannian foliations on nonpositively curved manifolds ⋮ Proofs of conjectures about singular Riemannian foliations ⋮ The equivariant LS-category of polar actions ⋮ From isoparametric submanifolds to polar foliations ⋮ Polar foliations on symmetric spaces and mean curvature flow ⋮ A note on inhomogeneous foliations with sections ⋮ Lie groupoids and semi-local models of singular Riemannian foliations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• De Rham decomposition theorems for foliated manifolds
• Critical point theory and submanifold geometry
• Polar actions on rank-one symmetric spaces.
• Singular Riemannian foliations with sections
• Submanifold geometry in symmetric spaces
• Foliated manifolds with bundle-like metrics
• Dupin Hypersurfaces
• A global formulation of the Lie theory of transformation groups
• Riemannian geometry

This page was built for publication: Parallel focal structure and singular Riemannian foliations