o:29496 A Note on Some Generalized Curvature Tensor en 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. 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. 1552099 10.36890/IEJG.1273631 1552101 1307-5624 2023-05-16T11:40:16.770Z 44 no 46 Ryszard Deszcz 0000-0002-5133-5455 Malgorzata Glogowska person 0000-0002-4881-9141 Marian Hotlos person 0000-0002-4165-4348 Miroslava Petrović-Torgašev person 0000-0002-9140-833X Georges Zafindratafa person 0009-0001-7618-4606 application/pdf 723535 https://phaidrabg.bg.ac.rs/o:29496 no yes 1 70 92000001 20A01 INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY (IEJG) 16 1 379 397 2023