Pseudo-Riemannian manifolds modelled on symmetric spaces

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

Keywords

• Pseudo-Riemannian
• manifolds
• modelled
• symmetric
• spaces