Totally geodesic singular orbits and symmetric singular orbits in cohomogeneity one Riemannian manifolds

DOI10.1134/S199508020804001XzbMath1169.53038OpenAlexW1984390286WikidataQ115247401 ScholiaQ115247401MaRDI QIDQ2378870

Yanyan Li

Publication date: 14 January 2009

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s199508020804001x

zbMATH Keywords

totally geodesic submanifoldssingular orbitscohomogeneity one Riemannian manifoldscohomogeneity one actions of a semisimple Lie group

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Differential geometry of homogeneous manifolds (53C30)

Cites Work

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• Totally geodesic orbits of isometries
• Invariant metrics on cohomogeneity one manifolds
• Riemannian \(G\)-manifold with one-dimensional orbit space
• Cohomogeneity one manifolds with positive Ricci curvature
• Cohomogeneity one actions on noncompact symmetric spaces with a totally geodesic singular orbit
• Some topological properties of cohomogeneity one manifolds with negative curvature
• Positively curved cohomogeneity one manifolds and 3-Sasakian geometry
• Cohomogeneity one Riemannian manifolds of non-positive curvature

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