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Parallel and totally geodesic hypersurfaces of non-reductive homogeneous four-manifolds |
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| Authors: | Giovanni Calvaruso Reinier Storm Joeri Van der Veken |
| Institution: | 1. Università del Salento, Dipartimento di Matematica “E. 2. De Giorgi”, Provinciale Lecce–Arnesano, Lecce, 73100 Italy;3. KU Leuven, Department of Mathematics, Celestijnenlaan 200B – Box 2400, Leuven, BE–3001 Belgium |
| Abstract: | We classify totally geodesic and parallel hypersurfaces of four-dimensional non-reductive homogeneous pseudo-Riemannian manifolds. |
| Keywords: | non-reductive homogeneous spaces parallel hypersurfaces pseudo-Riemannian metrics totally geodesic hypersurfaces |