Structure of space-time curvature

DOI10.1007/BF02105213zbMath0559.53008MaRDI QIDQ2266230

V. R. Kaigorodov

Publication date: 1985

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

zbMATH Keywords

curvatureRicci tensorgravitational wavesholonomy groupsspace-time

Mathematics Subject Classification ID

Issues of holonomy in differential geometry (53C29) Research exposition (monographs, survey articles) pertaining to differential geometry (53-02) Local Riemannian geometry (53B20) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (5)

On recurrent Riemannian and Ricci curvatures of Finsler metrics ⋮ Two-symmetric Lorentzian manifolds ⋮ Certain types of GRW-spacetimes ⋮ Geodesic mappings of equiaffine and Ricci symmetric spaces ⋮ Unnamed Item

Cites Work

• Notes on Ricci-recurrent spaces
• On hypersurfaces satisfying a certain condition on the curvature tensor
• On \(h\)-isotropic and \(C^ h\)-recurrent Finsler spaces
• Curvature tensors in Riemannian manifold
• On projective-symmetric spaces
• Some remarks on infinitesimal projective transformations in recurrent and Ricci-recurrent spaces
• On conformally recurrent spaces of second order
• ON CONFORMALLY FLAT 2-RECURRENT RIEMANNIAN SPACES
• Über die Konstruktion von metrisch-affinen Räumen von rekurrenter Krümmung
• Über Finslerräume von zweifach rekurrenter Krümmung
• Complex recurrent space-times
• On conformally symmetric 2-Ricci-recurrent spaces
• On Riemannian conformally symmetric spaces admitting projective collineations
• Three-Dimensional Spaces of Recurrent Curvature
• On Ruse's Spaces of Recurrent Curvature
• A remark on the recurrent curvature spaces
• Symmetric Harmonic Spaces
• On Simply Harmonic Spaces
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