Locally homogeneous Riemannian manifolds and Cartan triples

DOI10.1007/BF01265308zbMath0869.53033MaRDI QIDQ1332621

Victor Patrangenaru

Publication date: 11 September 1997

Published in: Geometriae Dedicata (Search for Journal in Brave)

zbMATH Keywords

Cartan tripleslocal isometry classeslocally homogeneous Riemannian manifolds

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30)

Related Items (4)

Geodesic hypothesis testing for comparing location parameters in elliptical populations ⋮ Locally homogeneous pseudo-Riemannian manifolds ⋮ On strictly locally homogeneous Riemannian manifolds ⋮ A classification of isometry groups of homogeneous 3-manifolds

Cites Work

• On local and global existence of Killing vector-fields
• On two theorems of I. M. Singer about homogeneous spaces
• Counter-example to the second Singer's theorem
• Curvature-orbits and locally homogeneous Riemannian manifolds
• Classifying 3 and 4 dimensional homogeneous Riemannian manifolds by Cartan triples
• On homogeneous Riemannian manifolds
• Infinitesimally homogeneous spaces
• A global formulation of the Lie theory of transformation groups
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