Pseudo-Riemannian manifolds modelled on symmetric spaces |
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| Authors: | Zdeněk Du?ek Old?ich Kowalski |
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| Affiliation: | 1. Department of Algebra and Geometry, Faculty of Science, Palacky University, t?. 17. listopadu 12, 771 46, Olomouc, Czech Republic
2. Mathematical Institute, Faculty of Mathematics and Physics, Charles University, Sokolovská 83, 186 75, Praha 8, Czech Republic
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| Abstract: | We construct irreducible pseudo-Riemannian manifolds (M, g) of arbitrary signature (p, q) with the same curvature tensor as a pseudo-Riemannian symmetric space which is a direct product of a two-dimensional Riemannian space form M 2(c) and a pseudo-Euclidean space with the signature (p, q ? 2), or (p ? 2, q), respectively. |
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