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Totally Geodesic and Parallel Hypersurfaces of Four-Dimensional Oscillator Groups

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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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Authors and Affiliations

  1. Dipartimento di Matematica “E. De Giorgi”, Università del Salento, Provinciale Lecce–Arnesano, 73100, Lecce, Italy

    Giovanni Calvaruso

  2. Departement Wiskunde, KU Leuven, Celestijnenlaan 200B, Box 2400, 3001, Leuven, Belgium

    Joeri Van der Veken

Authors
  1. Giovanni Calvaruso
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  2. Joeri Van der Veken
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Correspondence to Joeri Van der Veken.

Additional information

The first author is partially supported by funds of the University of Salento and MURST (PRIN).

The second author is a post-doctoral researcher supported by the Research Foundation–Flanders (F.W.O.).

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Calvaruso, G., Van der Veken, J. Totally Geodesic and Parallel Hypersurfaces of Four-Dimensional Oscillator Groups. Results. Math. 64, 135–153 (2013). https://doi.org/10.1007/s00025-012-0304-4

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  • DOI: https://doi.org/10.1007/s00025-012-0304-4

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