Homogeneous geodesics of non-unimodular Lorentzian Lie groups and naturally reductive Lorentzian spaces in dimension three

2008/01/08 by Giovanni Calvaruso, Calvaruso, Giovanni, Rosa Anna Marinosci +1
Mathematics · Physics and Astronomy · #53C20 #53C22 #53C30 #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.0801.1246

openalex publication_date 2008/01/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We determine, for all three-dimensional non-unimodular Lie groups equipped with a Lorentzian metric, the set of homogeneous geodesics through a point. Together with the results of [C] and [CM2], this leads to the full classification of three-dimensional Lorentzian g.o. spaces and naturally reductive spaces.

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