Two-symmetric Lorentzian manifolds |
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| Authors: | Dmitri V. Alekseevsky Anton S. Galaev |
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| Affiliation: | 1. The University of Edinburgh, School of Mathematics, The King’s Buildings, Mayfield Road, Edinburgh, United Kingdom;2. Department of Mathematics and Statistics, Faculty of Science, Masaryk University, Kotlá?ská 2, 61137 Brno, Czech Republic |
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| Abstract: | We classify two-symmetric Lorentzian manifolds using methods of the theory of holonomy groups. These manifolds are exhausted by a special type of pp-waves and, like the symmetric Cahen–Wallach spaces, they have commutative holonomy. |
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| Keywords: | 53C29 53C35 53C50 |
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