Publicationes Mathematicae, vol.58, no.4, pp.587-604, 2001 (Journal Indexed in SCI Expanded)
Article / Article
Title of Journal :
pseudosymmetry type manifold, Ricci-semisymmetric manifold, semisymmetric manifold, hypersurface, STRUCTURE THEOREMS
In the paper we prove that under some additional curvature condition the relations R · R = 0 and R · S = 0 are equivalent for hypersurfaces of semi-Euclidean spaces. We present also examples of hypersurfaces having the curvature tensor expressed by the square, in the sense of the Kulkarni - Nomizu product, of the Ricci tensor.