Homogeneous three-dimensional Riemannian spaces

DOI10.1088/1361-6382/ab9880zbMath1479.83054arXiv2004.01877OpenAlexW3034160153WikidataQ115293046 ScholiaQ115293046MaRDI QIDQ5161882

Joan Josep Ferrando, Juan Antonio Sáez

Publication date: 1 November 2021

Published in: Classical and Quantum Gravity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.01877

zbMATH Keywords

homogeneous spacessymmetriesIDEAL labeling

Mathematics Subject Classification ID

Gravitational energy and conservation laws; groups of motions (83C40) Global Riemannian geometry, including pinching (53C20)

Related Items (3)

Homogeneous three-dimensional Lorentzian spaces ⋮ Dimension of the isometry group in spacetimes with an invariant frame ⋮ Dimension of the isometry group in three-dimensional Riemannian spaces

Cites Work

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• Curvatures of left invariant metrics on Lie groups
• Editor's note: ``On the three-dimensional spaces which admit a continuous group of motions by Luigi Bianchi. With biography
• On the three-dimensional spaces which admit a continuous group of motions
• The spatially homogeneous cosmological models
• On Ricci eigenvalues of locally homogeneous Riemann 3-manifolds
• A class of homogeneous cosmological models
• Vacuum type D initial data
• Labeling spherically symmetric spacetimes with the Ricci tensor
• An intrinsic characterization of 2 + 2 warped spacetimes
• An intrinsic characterization of spherically symmetric spacetimes
• A criterion for the existence of Killing vectors in 3D
• An Introduction to General Relativity and Cosmology
• IDEAL characterization of higher dimensional spherically symmetric black holes
• An intrinsic characterization of the Kerr metric
• Exact Solutions of Einstein's Field Equations
• Isometry groups of three-dimensional Riemannian metrics
• Isometry groups of three-dimensional Lorentzian metrics
• Covariant determination of the Weyl tensor geometry
• IDEAL characterization of isometry classes of FLRW and inflationary spacetimes
• On the classification of type D space–times
• An intrinsic characterization of the Schwarzschild metric
• Counting the number of Killing vectors in a 3D spacetime
• Bianchi models with a free massless scalar field: invariant sets and higher symmetries
• Relativistic Cosmology
• Empty space-times admitting a three parameter group of motions

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