Lorentz geometry of 2-step nilpotent Lie groups

DOI10.1023/A:1025832108196zbMath1037.53046MaRDI QIDQ1412310

Mohammed Guediri

Publication date: 10 November 2003

Published in: Geometriae Dedicata (Search for Journal in Brave)

zbMATH Keywords

closed timelike geodesicsleft-invariant Lorentz metrics2-step nilpotent Lie groups

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Local Riemannian geometry (53B20)

Related Items (9)

Compact flat spacetimes ⋮ A new class of compact spacetimes without closed causal geodesics ⋮ Sub-semi-Riemannian geometry of general \(H\)-type groups ⋮ Homogeneous Lorentzian structures of 4-dimensional nilpotent Lie groups ⋮ Isometries, geodesics and Jacobi fields of Lorentzian Heisenberg group ⋮ A criterion for global hyperbolicity of left-invariant Lorentz metrics on Lie groups ⋮ Diagram involutions and homogeneous Ricci-flat metrics ⋮ Closed timelike geodesics in compact spacetimes ⋮ On the nonexistence of closed timelike geodesics in flat Lorentz 2-step nilmanifolds

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