One-dimensional metric foliations on compact Lie groups

DOI10.1307/mmj/1144437436zbMath1119.53014OpenAlexW2042673722WikidataQ115238967 ScholiaQ115238967MaRDI QIDQ874368

Marius Munteanu

Publication date: 5 April 2007

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1307/mmj/1144437436

zbMATH Keywords

compact Lie groupsbi-invariant metricJacobi vector fieldsone-dimensional metric foliations

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Foliations (differential geometric aspects) (53C12) General properties and structure of real Lie groups (22E15) General properties and structure of other Lie groups (22E20)

Related Items (3)

Flats and submersions in non-negative curvature ⋮ On totally geodesic foliations and doubly ruled surfaces in a compact Lie group ⋮ Metric foliations of homogeneous three-spheres

Cites Work

• Unnamed Item
• Foliations on Riemannian manifolds
• Umbilic foliations and curvature
• Geometric vector fields on Lie groups
• Nonnegatively curved metrics on \(S^{2}\times {\mathbb R}^{2}\)
• The fundamental equations of a submersion
• Submersions and geodesics

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