Editor's note: ``On the three-dimensional spaces which admit a continuous group of motions by Luigi Bianchi. With biography

DOI10.1023/A:1015326128022zbMath1005.83056OpenAlexW90256348WikidataQ125589513 ScholiaQ125589513MaRDI QIDQ1611348

Robert T. Jantzen

Publication date: 21 August 2002

Published in: General Relativity and Gravitation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1015326128022

zbMATH Keywords

Lie algebracosmological modelKilling vector3-dimensional Riemannian manifoldsthree-dimensional spacesBianchi types I-IXcontinuous group of motionsLie's classification

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) History of relativity and gravitational theory (83-03)

Related Items (3)

Symmetries and generalized higher order conserved vectors of the wave equation on Bianchi I spacetime ⋮ Noether symmetries of Bianchi type II spacetimes ⋮ Homogeneous three-dimensional Riemannian spaces

Cites Work

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• Curvatures of left invariant metrics on Lie groups
• The dynamical degrees of freedom in spatially homogeneous cosmology
• The development of tensor calculus. From absolute differential calculus to relativity
• Some relativistic cosmological models
• A class of homogeneous cosmological models
• Compact homogeneous universes
• Finite Rotating Universe
• An Example of a New Type of Cosmological Solutions of Einstein's Field Equations of Gravitation

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