The dual foliation in open manifolds with nonnegative sectional curvature

DOI10.1090/S0002-9939-07-09047-8zbMath1139.53019OpenAlexW2064992618MaRDI QIDQ5441183

Luis Guijarro, Gerard Walschap

Publication date: 8 February 2008

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-07-09047-8

zbMATH Keywords

retractionAlexandrov spacenonnegative curvaturedual foliationsoulopen manifold

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 ⋮ Riemannian submersions from compact four manifolds ⋮ On Riemannian foliations over positively curved manifolds ⋮ The dual foliation of some singular Riemannian foliations

Cites Work

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• Nonnegatively curved manifolds with souls of codimension 2
• Distance nonincreasing retraction on a complete open manifold of nonnegative sectional curvature
• Proof of the soul conjecture of Cheeger and Gromoll
• A duality theorem for Riemannian foliations in nonnegative sectional curvature
• On the structure of complete manifolds of nonnegative curvature
• The metric projection onto the soul
• On the metric structure of open manifolds with nonnegative curvature
• Transitive holonomy group and rigidity in nonnegative curvature

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