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.
Cyclic Lorentzian Lie groups
CALVARUSO, Giovanni;
2016-01-01
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.File in questo prodotto:
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