Totally Geodesic and Parallel Hypersurfaces of Four-Dimensional Oscillator Groups |
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| Authors: | Giovanni Calvaruso Joeri Van der Veken |
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| Institution: | 1. Dipartimento di Matematica “E. De Giorgi”, Università del Salento, Provinciale Lecce–Arnesano, 73100, Lecce, Italy
2. Departement Wiskunde, KU Leuven, Celestijnenlaan 200B, Box 2400, 3001, Leuven, Belgium
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| Abstract: | We obtain the complete classification and explicitly describe totally geodesic and parallel hypersurfaces of four-dimensional oscillator groups, equipped with a one-parameter family of left-invariant Lorentzian metrics. |
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