Flat left-invariant pseudo-Riemannian metrics on unimodular Lie groups

DOI10.1090/proc/14808zbMath1476.53092OpenAlexW2981306741WikidataQ115290752 ScholiaQ115290752MaRDI QIDQ5218217

Hicham Lebzioui

Publication date: 2 March 2020

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/14808

zbMATH Keywords

unimodular Lie groupsdouble extensionflat left-invariant metricsunimodular Lie algebras

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items

Left invariant Ricci flat metrics on Lie groups ⋮ On pseudo-Euclidean Novikov algebras ⋮ On a remarkable class of flat pseudo-Riemannian Lie groups ⋮ Flat left-invariant pseudo-Riemannian metrics on quadratic Lie groups

Cites Work

• The structure of complete left-symmetric algebras
• Curvatures of left invariant metrics on Lie groups
• Radical d'une algèbre symétrique à gauche
• Flat pseudo-Riemannian Lie groups
• 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