Cyclic Lorentzian Lie Groups

M. Castrillon Lopez; G. Calvaruso

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arXiv · 1504.07801

Cyclic Lorentzian Lie Groups

M. Castrillon Lopez·G. Calvaruso

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Abstract

We consider Lie groups equipped with a left-invariant cyclic Lorentzian metric. As in the Riemannian case, in terms of homogeneous structures, such metrics can be considered as different as possible from bi-invariant metrics. We show that several results concerning cyclic Riemannian metrics do not extend to their Lorentzian analogues, and obtain a full classification of three- and four-dimensional cyclic Lorentzian metrics.

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M. Castrillon Lopez, G. Calvaruso. 2015-04-29. Cyclic Lorentzian Lie Groups. https://arxiv.org/abs/1504.07801

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