Isometries, geodesics and Jacobi fields of Lorentzian Heisenberg group
type: Item
instance of: scholarly article
title: Isometries, geodesics and Jacobi fields of Lorentzian Heisenberg group
zbMATH Open document ID: 1232.53057
author: Wafaa Batat
author: Salima Rahmani
published in: Mediterranean Journal of Mathematics
publication date: 2011-11-04T00:00:00Z
review text: The paper under review contains a series of computations regarding left-invariant Lorentzian metrics on the Heisenberg group. These were classified by the second author [J. Geom. Phys. 9, No. 3, 295--302 (1992; Zbl 0752.53036)] and appear in three different types (two one-parameter families of non-flat metrics, and one flat metric). Using explicit formulas for such metrics, the authors generate explicit formulas for the isometries, geodesics and Jacobi vector fields of each of them, and also compute their isometry groups.
reviewed by: Renato G. Bettiol
Mathematics Subject Classification ID: 53C50
Mathematics Subject Classification ID: 22E25
Mathematics Subject Classification ID: 53B30
Mathematics Subject Classification ID: 53C30
zbMATH DE Number: 5968208
zbMATH Keywords: Heisenberg group
zbMATH Keywords: Lorentzian metrics
zbMATH Keywords: isometries
zbMATH Keywords: geodesics
zbMATH Keywords: Jacobi fields
MaRDI profile type: Publication
full work available at URL: s00009-010-0070-z
OpenAlex ID: W1973512885
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cites work: Q5651936
DOI: 10.1007/S00009-010-0070-Z
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description: scientific article; zbMATH DE number 5968208