Isometry groups of three-dimensional Riemannian metrics

DOI10.1063/1.529960zbMath0753.53023OpenAlexW2024772816WikidataQ115331148 ScholiaQ115331148MaRDI QIDQ3991690

Bartolomé Coll, Carles Bona

Publication date: 28 June 1992

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.529960

zbMATH Keywords

Ricci tensor

Mathematics Subject Classification ID

Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Global Riemannian geometry, including pinching (53C20)

Related Items (8)

Dislocations and internal length measurement in continuized crystals. I: Riemannian material space ⋮ Three-dimensional Riemannian manifolds with constant principal Ricci curvatures ρ1=ρ2≠ρ3 ⋮ Inhomogeneous cosmological models with homogeneous inner hypersurface geometry ⋮ Isometry groups of three-dimensional Lorentzian metrics ⋮ Lorentzian three-metrics with degenerate Ricci tensors ⋮ Riemannian three-metrics with degenerate Ricci tensors ⋮ Homogeneous three-dimensional Riemannian spaces ⋮ Dimension of the isometry group in three-dimensional Riemannian spaces

Cites Work

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• Proiezioni naturali e derivazione trasversa in una varietà riemanniana a metrica iperbolica normale
• Intrinsic symmetries in general relativity
• On the space-times admitting a synchronization of constant curvature
• Invariant conformal vectors in space-times admitting a group of G3 of motions acting on spacelike orbits S2
• On the evolution equations for Killing fields

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