On the completeness of dual foliations on nonnegatively curved symmetric spaces

DOI10.4171/RMI/1287zbMath1498.53078arXiv2006.13809OpenAlexW3174563069MaRDI QIDQ2135421

Llohann Dallagnol Sperança, Renato J. M. e Silva

Publication date: 6 May 2022

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.13809

zbMATH Keywords

symmetric spacesRiemannian foliationsnonnegative sectional curvature

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Foliations (differential geometric aspects) (53C12) Differential geometry of symmetric spaces (53C35)

Cites Work

• Twisted submersions in nonnegative sectional curvature
• Polar foliations of symmetric spaces
• The metric fibrations of Euclidean space
• On Riemannian foliations over positively curved manifolds
• The metric foliations on Euclidean spaces
• A duality theorem for Riemannian foliations in nonnegative sectional curvature
• A splitting theorem for equifocal submanifolds in simply connected compact symmetric spaces
• A slice theorem for singular Riemannian foliations, with applications
• Lie Groups and Geometric Aspects of Isometric Actions
• The dual foliation in open manifolds with nonnegative sectional curvature

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