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.
On the symmetries of the Lorentzian oscillator group
CALVARUSO, Giovanni;
2017-01-01
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.File in questo prodotto:
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