Compact homogeneous universes

DOI10.1063/1.530819zbMath0820.53074arXivgr-qc/9405052OpenAlexW3101562212MaRDI QIDQ4327215

Masayuki Tanimoto, Tatsuhiko Koike, A. Hosoya

Publication date: 5 April 1995

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

Full work available at URL: https://arxiv.org/abs/gr-qc/9405052

zbMATH Keywords

cosmologyTeichmüller spacesworld models

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Applications of differential geometry to physics (53Z05) Connections (general theory) (53C05)

Related Items

Riemannian space-times of Gödel type in five dimensions ⋮ Locally homogeneous pseudo-Riemannian manifolds ⋮ Inhomogeneous cosmological models with homogeneous inner hypersurface geometry ⋮ Hamiltonian reduction, the Einstein flow, and collapse of 3-manifolds ⋮ The QCD nature of dark energy ⋮ The structure and interpretation of cosmology: I. General relativistic cosmology ⋮ Higher order geometric flows on three-dimensional locally homogeneous spaces ⋮ The Calabi complex and Killing sheaf cohomology ⋮ Hamiltonian structures for compact homogeneous universes ⋮ Harmonic analysis of linear fields on the nilgeometric cosmological model ⋮ Dynamics of compact homogeneous universes ⋮ New varieties of Gowdy space–times ⋮ On a class of Riemann-Cartan space-times of Gödel type. ⋮ Editor's note: ``On the three-dimensional spaces which admit a continuous group of motions by Luigi Bianchi. With biography

Cites Work

• Topology and cosmology
• A class of homogeneous cosmological models
• Comments on closed Bianchi models
• Bianchi cosmologies: the role of spatial topology
• Three dimensional manifolds, Kleinian groups and hyperbolic geometry
• The Geometries of 3-Manifolds
• Topology in General Relativity
• Infinitesimally homogeneous spaces
• Teichmüller spaces of Seifert fibered manifolds with infinite \(\pi _ 1\)