Locally homogeneous pseudo-Riemannian manifolds

DOI10.1016/0393-0440(94)00040-BzbMath0832.53017WikidataQ115363099 ScholiaQ115363099MaRDI QIDQ1900129

Victor Patrangenaru

Publication date: 26 February 1996

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

zbMATH Keywords

Cartan tripleslocally homogeneous pseudo-Riemannian manifolds

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (6)

Remarks on Highly Supersymmetric Backgrounds of 11-Dimensional Supergravity ⋮ Curvature properties of Lorentzian manifolds with large isometry groups ⋮ Homogeneous structures on three-dimensional Lorentzian manifolds ⋮ Three-dimensional Lorentz geometries: Classification and completeness ⋮ Three-dimensional metrics with a spherical homogeneous model ⋮ Constant gravitational fields and redshift of light

Cites Work

• Values of pseudoriemannian sectional curvature
• On two theorems of I. M. Singer about homogeneous spaces
• Counter-example to the second Singer's theorem
• Lorentz manifolds modelled on a Lorentz symmetric space
• Lorentz metrics on unimodular Lie groups of dimension three
• Nongeneric null vectors
• Locally homogeneous Riemannian manifolds and Cartan triples
• Compact homogeneous universes
• A global formulation of the Lie theory of transformation groups
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