2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/64016We construct a family of pseudo-Riemannian manifolds so that the skew-symmetric curvature operator, the Jacobi operator, and the Szabo operator have constant eigenvalues on their domains of definition. This provides new and non-trivial examples of Osserman, Szabo, and IP manifolds. We also study when the associated Jordan normal form of these operators is constant.Differential Geometry53B20Szabo Osserman IP Pseudo-Riemannian manifoldstext