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On the symmetries of the Lorentzian oscillator group

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Abstract

We consider the four-dimensional oscillator group, equipped with a well known one-parameter family of left-invariant Lorentzian metrics. We obtain a full classification of its Ricci (curvature, Weyl) collineations and matter collineations, and also point out the left-invariant collineations.

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Authors and Affiliations

  1. Dipartimento di Matematica e Fisica “E. De Giorgi”, Università del Salento, Prov. Lecce-Arnesano, 73100, Lecce, Italy

    Giovanni Calvaruso

  2. Department of Mathematics, Payame noor University, P.O. Box 19395-3697, Tehran, Iran

    Amirhesam Zaeim

Authors
  1. Giovanni Calvaruso
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  2. Amirhesam Zaeim
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Correspondence to Amirhesam Zaeim.

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First author partially supported by funds of the University of Salento and MIUR (PRIN). Second author partially supported by funds of the University of Payame Noor.

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Calvaruso, G., Zaeim, A. On the symmetries of the Lorentzian oscillator group. Collect. Math. 68, 51–67 (2017). https://doi.org/10.1007/s13348-016-0173-3

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