Twisted submersions in nonnegative sectional curvature

DOI10.1007/s00013-013-0550-zzbMath1277.53033arXiv1212.2569OpenAlexW2008059147MaRDI QIDQ368488

Luis Guijarro, Gerard Walschap, Pablo Angulo-Ardoy

Publication date: 23 September 2013

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.2569

zbMATH Keywords

Riemannian submersionHopf fibrationhorizontal curvedual foliationlong exact sequence in homotopyprincipal torus bundletransgressive elementstwisted submersion

Mathematics Subject Classification ID

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

Related Items (4)

On the completeness of dual foliations on nonnegatively curved symmetric spaces ⋮ On Riemannian foliations over positively curved manifolds ⋮ Torus actions, maximality, and non-negative curvature ⋮ The dual foliation of some singular Riemannian foliations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Nonnegatively curved manifolds with souls of codimension 2
• Twisting and nonnegative curvature metrics on vector bundles over the round sphere.
• A metric characterization of Riemannian submersions
• Bundles with spherical Euler class.
• The dual foliation of some singular Riemannian foliations
• A note on quasi-positive curvature conditions
• A duality theorem for Riemannian foliations in nonnegative sectional curvature
• When is a Riemannian submersion homogeneous?
• A Sufficient Condition that a Mapping of Riemannian Manifolds be a Fibre Bundle
• Rigidity in non-negative curvature1
• Metric foliations and curvature
• Metric foliations and curvature
• Transitive holonomy group and rigidity in nonnegative curvature

This page was built for publication: Twisted submersions in nonnegative sectional curvature