Sufficient Conditions for a Bundle-Like Foliation to Admit a Riemannian Submersion onto its Leaf Space

DOI10.2307/2043680zbMath0512.57011OpenAlexW4256608773MaRDI QIDQ3657076

Richard H. jun. Escobales

Publication date: 1982

Full work available at URL: https://doi.org/10.2307/2043680

zbMATH Keywords

bundle-like foliationclosed leavesRiemannian submersion onto leaf spacetrivial holonomy

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Foliations (differential geometric aspects) (53C12) Foliations in differential topology; geometric theory (57R30)

Related Items (3)

Integration by parts and quasi-invariance for the horizontal Wiener measure on foliated compact manifolds ⋮ Riemannian Foliations of the Rank one Symmetric Spaces ⋮ The mean curvature cohomology class for foliations and the infinitesimal geometry of the leaves

Cites Work

• The fundamental equations of a submersion
• On the differential geometry of foliations
• Foliated manifolds with bundle-like metrics
• A Sufficient Condition that a Mapping of Riemannian Manifolds be a Fibre Bundle
• Riemannian homogeneous foliations without holonomy
• The Integrability Tensor for Bundle-Like Foliations
• A global formulation of the Lie theory of transformation groups
• Foliations
• Unnamed Item
• Unnamed Item

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