Isometries, geodesics and Jacobi fields of Lorentzian Heisenberg group

DOI10.1007/s00009-010-0070-zzbMath1232.53057OpenAlexW1973512885MaRDI QIDQ644600

Wafaa Batat, Salima Rahmani

Publication date: 4 November 2011

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-010-0070-z

zbMATH Keywords

Heisenberg groupgeodesicsJacobi fieldsLorentzian metricsisometries

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Nilpotent and solvable Lie groups (22E25) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (4)

Geodesics and isocline distributions in tangent bundles of nonflat Lorentzian-Heisenberg spaces ⋮ Classification of space-like translation surfaces in the 3-dimensional Lorentz Heisenberg group H3 ⋮ On the isometry groups of invariant Lorentzian metrics on the Heisenberg group ⋮ Classification of left-invariant metrics on the Heisenberg group

Cites Work

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• Au sujet des flots riemanniens sur le groupe nilpotent de Heisenberg. (On Riemannian flows on the nilpotent Heisenberg group)
• Riemannian nilmanifolds attached to Clifford modules
• Lorentz metrics on unimodular Lie groups of dimension three
• Lorentz geometry of 2-step nilpotent Lie groups
• Lorentzian geometry of the Heisenberg group
• Geometry of $2$-step nilpotent groups with a left invariant metric

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