eng All rights reserved Abstract: For any semi-Riemannian manifold (M, g) we define some generalized curvature tensor E as a linear combination of Kulkarni-Nomizu products formed by the metric tensor, the Ricci tensor and its square of given manifold. That tensor is closely related to quasi-Einstein spaces, Roter spaces and some Roter type spaces. https://phaidrabg.bg.ac.rs/o:29496 doi:10.36890/IEJG.1273631 ISSN: 1307-5624 INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY (IEJG) 16(1) Deszcz, Ryszard Glogowska, Malgorzata Hotlos, Marian Petrović-Torgašev, Miroslava Zafindratafa, Georges Keywords: warped product manifold; Einstein, quasi-Einstein and partially Einstein manifold; generalized Einstein metric condition; pseudosymmetry type curvature condition; Roter and generalized Roter space; hypersurface. application/pdf 723535 bytes info:eu-repo/semantics/article 2023 A Note on Some Generalized Curvature Tensor