Totally geodesic Riemannian foliations with locally symmetric leaves

DOI10.1016/j.crma.2006.01.015zbMath1115.53020OpenAlexW2029738898WikidataQ115358310 ScholiaQ115358310MaRDI QIDQ819847

Raul Quiroga-Barranco

Publication date: 29 March 2006

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2006.01.015

zbMATH Keywords

latticesymmetric spacesemisimple Lie groupcompact subgrouptotally geodesic Riemannian foliation

Mathematics Subject Classification ID

Foliations (differential geometric aspects) (53C12)

Cites Work

• Dualité symplectique, feuilletages et géometrie du moment. (Symplectic duality, foliations and moment geometry)
• Totally geodesic foliations on 4-manifolds
• Gromov's centralizer theorem
• Isometric actions of simple Lie groups on pseudo-Riemannian manifolds
• Pseudo-Riemannian geometry and actions of simple Lie groups
• COMPLEMENTARY DISTRIBUTIONS WHICH PRESERVE THE LEAF GEOMETRY AND APPLICATIONS TO TOTALLY GEODESIC FOLIATIONS
• Arithmeticity of Holonomy Groups of Lie Foliations
• Totally geodesic foliations
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