Affiliation:
1. Dipartimento di Matematica “E. De Giorgi”, Università degli Studi di Lecce, Via Provinciale Lecce-Arnesano, 73100 Lecce, Italy. Email:
Abstract
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 [G. Calvaruso, Homogeneous structures on three-dimensional Lorentzian manifolds. J. Geom. Phys.
57 (2007), 1279–1291. MR2287304 (2008b:53066) Zbl 1112.53051] and [G. Calvaruso, R. A. Marinosci, Homogeneous geodesics of three-dimensional unimodular Lorentzian Lie groups. Mediterr. J. Math.
3 (2006), 467–481. MR2274738 Zbl pre05151042], this leads to the full classification of three-dimensional Lorentzian g.o. spaces and naturally reductive spaces.
Cited by
15 articles.
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