On a remarkable class of flat pseudo-Riemannian Lie groups

DOI10.1016/J.GEOMPHYS.2023.104774OpenAlexW4319311076MaRDI QIDQ2693329

Hicham Lebzioui

Publication date: 20 March 2023

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2023.104774

zbMATH Keywords

double extensionleft-symmetric algebrasleft-invariant pseudo-Riemannian metricsflat pseudo-Riemannian Lie groups

Mathematics Subject Classification ID

Lie algebras of Lie groups (22E60) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Solvable, nilpotent (super)algebras (17B30) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60)

Cites Work

• Curvatures of left invariant metrics on Lie groups
• Left-invariant Lorentz metrics on Lie groups
• Flat pseudo-Riemannian Lie groups
• On pseudo-Euclidean Novikov algebras
• On flat pseudo-Euclidean nilpotent Lie algebras
• Flat Nonunimodular Lorentzian Lie Algebras
• Left-invariant Lorentzian flat metrics on Lie groups
• On the nonexistence of closed timelike geodesics in flat Lorentz 2-step nilmanifolds
• Flat left-invariant pseudo-Riemannian metrics on unimodular Lie groups
• On a Remarkable Class of Left-symmetric Algebras and its Relationship with the Class of Novikov Algebras

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