When is a Riemannian submersion homogeneous?

DOI10.1007/s10711-007-9133-0zbMath1125.53027OpenAlexW2075369548MaRDI QIDQ2642379

Luis Guijarro, Gerard Walschap

Publication date: 20 August 2007

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10711-007-9133-0

zbMATH Keywords

Riemannian submersiondual foliationnonnegative sectional curvatureisometric group action

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Foliations (differential geometric aspects) (53C12)

Related Items (7)

Unnamed Item ⋮ Twisted submersions in nonnegative sectional curvature ⋮ Full Laplace spectrum of distance spheres in symmetric spaces of rank one ⋮ A-foliations of codimension two on compact simply-connected manifolds ⋮ Flats and submersions in non-negative curvature ⋮ On the affine group of a normal homogeneous manifold ⋮ The dual foliation of some singular Riemannian foliations

Cites Work

• Fat bundles and symplectic manifolds
• The low-dimensional metric foliations of Euclidean spheres
• A duality theorem for Riemannian foliations in nonnegative sectional curvature
• A Sufficient Condition that a Mapping of Riemannian Manifolds be a Fibre Bundle
• Submersions, fibrations and bundles
• On An Arcwise Connected Subgroup of A Lie Group
• Index parity of closed geodesics and rigidity of Hopf fibrations
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