Riemannian Foliations of the Rank one Symmetric Spaces

DOI10.2307/2045827zbMath0594.57012OpenAlexW4251630118MaRDI QIDQ3725196

Richard H. jun. Escobales

Publication date: 1985

Full work available at URL: https://doi.org/10.2307/2045827

zbMATH Keywords

fiber bundlesRiemannian foliations of projective spaces by projective spacesRiemannian foliations of spheres by great spheres

Mathematics Subject Classification ID

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

Related Items (6)

Transversally symmetric Riemannian foliations ⋮ Harmonic foliations on a compact Riemannian manifold of non-negative constant curvature ⋮ On sectional and Ricci curvatures of semi-Riemannian submersions ⋮ Volumes of Flows ⋮ Skew Hopf fibrations ⋮ The subelliptic heat kernel of the octonionic Hopf fibration

Cites Work

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• Fibrations of spheres by parallel great spheres and Berger's rigidity theorem
• Riemannian submersions with totally geodesic fibers
• Riemannian submersions from complex projective space
• A note on manifolds whose holonomy group is a subgroup of Sp(n) Sp(1)
• Closed metric foliations
• On the Nonexistence of Riemannian Submersions from CP(7) and QP(3)
• Sufficient Conditions for a Bundle-Like Foliation to Admit a Riemannian Submersion onto its Leaf Space
• A Sufficient Condition that a Mapping of Riemannian Manifolds be a Fibre Bundle
• Harmonic Mappings of Spheres

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