On the global hyperbolicity of Lorentz 2-step nilpotent Lie groups

DOI10.1023/A:1025743504776zbMath1031.53077OpenAlexW196555685WikidataQ115335135 ScholiaQ115335135MaRDI QIDQ1413803

Mohammed Guediri

Publication date: 17 November 2003

Published in: General Relativity and Gravitation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1025743504776

zbMATH Keywords

Lie groups of Heisenberg typeclosed timelike geodesics2-step nilpotent Lie groupsleft invariant Lorentz metricstimelike injectivity radius

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30)

Related Items (1)

A criterion for global hyperbolicity of left-invariant Lorentz metrics on Lie groups

Cites Work

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• Three-dimensional affine crystallographic groups
• Riemannian nilmanifolds attached to Clifford modules
• On the existence of closed timelike geodesics in compact spacetimes
• The time-like cut locus and conjugate points in Lorentz 2-step nilpotent Lie groups
• On the Geometry of Groups of Heisenberg Type
• Geometry of $2$-step nilpotent groups with a left invariant metric
• On the nonexistence of closed timelike geodesics in flat Lorentz 2-step nilmanifolds
• The Large Scale Structure of Space-Time

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