Curvature properties of Lorentzian manifolds with large isometry groups

DOI10.1007/s11040-009-9060-4zbMath1170.53047OpenAlexW1970151687WikidataQ126074035 ScholiaQ126074035MaRDI QIDQ839601

Wafaa Batat, Giovanni Calvaruso, Barbara De Leo

Publication date: 2 September 2009

Published in: Mathematical Physics, Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11040-009-9060-4

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Global Riemannian geometry, including pinching (53C20)

Related Items (4)

Some geometrical properties of the Oscillator group ⋮ Curvature properties and Ricci solitons of Lorentzian pr-waves manifolds ⋮ Some results on harmonic metrics ⋮ Killing magnetic trajectories in 3d Egorov spaces

Cites Work

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• Homogeneous structures on three-dimensional Lorentzian manifolds
• Classification of certain compact Riemannian manifolds with harmonic curvature and non-parallel Ricci tensor
• Lorentz manifolds modelled on a Lorentz symmetric space
• Conformally flat Riemannian manifolds admitting a transitive group of isometries
• Einstein-like manifolds which are not Einstein
• Special ball-homogeneous spaces
• Lorentz manifolds with the three largest degrees of symmetry
• Locally homogeneous pseudo-Riemannian manifolds
• On homogeneous Riemannian manifolds
• Einstein-like metrics on three-dimensional homogeneous Lorentzian manifolds
• Examples of curvature homogeneous Lorentz metrics
• Three-dimensional Lorentz manifolds admitting a parallel null vector field
• Non-reductive Homogeneous Pseudo-Riemannian Manifolds of Dimension Four

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