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arXiv · 0801.1246

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

Giovanni Calvaruso·Rosa Anna Marinosci
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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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Giovanni Calvaruso, Rosa Anna Marinosci. 2008-01-08. Homogeneous geodesics of non-unimodular Lorentzian Lie groups and naturally reductive Lorentzian spaces in dimension three. https://arxiv.org/abs/0801.1246

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