On pseudosymmetric spaces. (English) Zbl 0808.53012

The author presents some results on pseudosymmetric manifolds, i.e. on semi-Riemannian manifolds which possess a pseudosymmetric Riemann- Christoffel curvature tensor. Various aspects of Riemannian geometry are studied: warped products, four-dimensional manifolds, geodesic mappings, conformal deformations of metrics, submanifolds and para-Kähler manifolds together with curvature conditions of pseudosymmetry type.


53B20 Local Riemannian geometry