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

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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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Differential Geometry, 53C20,53C22, 53C30

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http://salesiana.dossiersoluciones.com/handle/123456789/145570

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0801.1246
 http://arxiv.org/abs/0801.1246

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arXiv