Homogeneous geodesics of non-unimodular Lorentzian Lie groups and naturally reductive Lorentzian spaces in dimension three

DOI10.1515/ADVGEOM.2008.030zbMath1157.53024arXiv0801.1246OpenAlexW2962699357WikidataQ115237058 ScholiaQ115237058MaRDI QIDQ3546150

Rosa Anna Marinosci, Giovanni Calvaruso

Publication date: 18 December 2008

Published in: advg (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0801.1246

zbMATH Keywords

homogeneous geodesichomogeneous pseudo-Riemannian manifold3-dimensional non-unimodular Lie groups

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Geodesics in global differential geometry (53C22) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Related Items (10)

Cyclic Lorentzian Lie groups ⋮ Four-dimensional pseudo-Riemannian g.o. spaces and manifolds ⋮ Homogeneous paracontact metric three-manifolds ⋮ Two-step homogeneous geodesics in pseudo-Riemannian manifolds ⋮ Three-dimensional homogeneous generalized Ricci solitons ⋮ On Lorentzian connections with parallel skew torsion ⋮ On the isometry groups of invariant Lorentzian metrics on the Heisenberg group ⋮ Metrics of Kaluza–Klein type on the anti‐de Sitter space ⋮ Homogeneous geodesics of non-reductive homogeneous pseudo-Riemannian 4-manifolds ⋮ Four-dimensional naturally reductive pseudo-Riemannian spaces

Cites Work

• Homogeneous structures on three-dimensional Lorentzian manifolds
• Homogeneous geodesics of three-dimensional unimodular Lorentzian Lie groups
• Lorentz metrics on unimodular Lie groups of dimension three
• Curvatures of left invariant metrics on Lie groups
• On the existence of homogeneous geodesics in homogeneous Riemannian manifolds
• Homogeneous geodesics in solvable Lie groups
• Homogeneous Lorentzian spaces whose null-geodesics are canonically homogeneous
• Penrose limits of homogeneous spaces
• Three-dimensional Lorentz manifolds admitting a parallel null vector field

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