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 M2(c) and a pseudo-Euclidean space with the signature (p, q − 2), or (p − 2, q), respectively.
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