Conformally Flat Homogeneous Lorentzian Manifolds

DOI10.1007/978-1-4614-4897-6_13zbMath1282.53061OpenAlexW287462452MaRDI QIDQ2861905

Kyoko Honda, Kazumi Tsukada

Publication date: 11 November 2013

Published in: Recent Trends in Lorentzian Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4614-4897-6_13

zbMATH Keywords

conformally flatLorentzian manifoldshomogeneouslocal isometry

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Related Items (2)

Conformally flat homogeneous pseudo-Riemannian four-manifolds ⋮ Spacetime groups

Cites Work

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• On local and global existence of Killing vector-fields
• Conformally flat Riemannian manifolds admitting a transitive group of isometries. II
• Conformally flat semi-Riemannian manifolds with nilpotent Ricci operators and affine differential geometry
• Einstein-like metrics on three-dimensional homogeneous Lorentzian manifolds
• Three-dimensional conformally flat homogeneous Lorentzian manifolds
• Infinitesimally homogeneous spaces
• Totally geodesic foliations

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