On classification of four-dimensional locally homogeneous pseudo-Riemannian manifolds with an isotropic Weyl tensor

DOI10.3103/S1066369X19070089zbMath1431.53022OpenAlexW2969284937WikidataQ115223247 ScholiaQ115223247MaRDI QIDQ2286957

S. V. Klepikova

Publication date: 23 January 2020

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x19070089

zbMATH Keywords

Lie algebralocally homogeneous pseudo-Riemannian manifoldisotropic Weyl tensor

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) General relativity (83C99) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Cites Work

• Unnamed Item
• Left-invariant Lorentz metrics on three-dimensional Lie groups with a Schouten-Weyl tensor of squared length zero
• On harmonic tensors on three-dimensional Lie groups with left-invariant Riemannian metric
• Curvatures of left invariant metrics on Lie groups
• Conformally flat homogeneous pseudo-Riemannian four-manifolds
• Einstein-Maxwell equation on four-dimensional homogeneous spaces

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