On the Geometry of Three-dimensional Pseudo-Riemannian Homogeneous Spaces. I

DOI10.18500/1816-9791-2020-20-1-29-41zbMath1451.53067OpenAlexW4232724061MaRDI QIDQ5122692

Natal'ya Pavlovna Mozheĭ

Publication date: 23 September 2020

Published in: Izvestiya of Saratov University. New Series. Series: Mathematics. Mechanics. Informatics (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/isu826

zbMATH Keywords

pseudo-Riemannian manifoldRicci curvature tensorLevi-Cevita connection

Mathematics Subject Classification ID

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

Cites Work

• Affine connections on three-dimensional pseudo-Riemannian homogeneous spaces. I
• Geometry of homogeneous Riemannian manifolds
• Einstein-like manifolds which are not Einstein
• Classification of homogeneous conformally flat Riemannian manifolds
• On Ricci eigenvalues of locally homogeneous Riemann 3-manifolds
• Affine connections on three-dimensional pseudo-Riemannian homogeneous spaces. II
• Locally conformally homogeneous pseudo-Riemannian spaces
• The Cotton tensor in Riemannian spacetimes
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