Classification of Einstein Lorentzian 3-nilpotent Lie groups with 1-dimensional nondegenerate center

zbMath1482.53067arXiv2007.12151MaRDI QIDQ5001471

Oumaima Tibssirte, Mohamed Boucetta

Publication date: 19 July 2021

Full work available at URL: https://arxiv.org/abs/2007.12151

zbMATH Keywords

nilpotent Lie algebraEinstein Lorentzian manifold

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Nilpotent and solvable Lie groups (22E25) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Cites Work

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• A canonical compatible metric for geometric structures on nilmanifolds
• Ricci-flat left-invariant Lorentzian metrics on 2-step nilpotent Lie groups
• 7-Dimensional Nilpotent Lie Algebras
• Indefinite Einstein metrics on simple Lie groups

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