33 citations · 33 across the 6 of their papers we have counts for
6 papers
Curvature properties of pseudosymmetry type of some 2-quasi-Einstein manifolds
Ryszard Deszcz, Małgorzata Głogowska, Jan Jełowicki +2
Let (M,g) be a 2-quasi-Einstein non-conformally flat semi-Riemannian manifold of dimension > 3. We prove that if its Riemann-Christoffel curvature tensor R is a linear combination…
On Wintgen ideal submanifolds satisfying some pseudo-symmetry type curvature conditions
Ryszard Deszcz, Małgorzata Głogowska, Miroslava Petrović-Torgašev +1
Let M be a Wintgen ideal submanifold of dimension n in a real space form R^{n+m}(k) of dimension (n+m) and of constant curvature k, n > 3, m = 1 or m > 1. Let g, R, Ricc, g /\ Ricc…
On semi-Riemannian manifolds satisfying some generalized Einstein metric conditions
Ryszard Deszcz, Małgorzata Głogowska, Marian Hotloś +2
The difference tensor R.C-C.R of a semi-Riemannian manifold (M,g), dim M > 3, formed by its Riemannian-Christoffel curvature tensor R and the Weyl conformal curvature tensor C, und…
A note on some generalized curvature tensor
Ryszard Deszcz, Małgorzata Głogowska, Marian Hotloś +2
For any semi-Riemannian manifold (M,g) we define some generalized curvature tensor as a linear combination of Kulkarni-Nomizu products formed by the metric tensor, the Ricci tensor…
Hypersurfaces in space forms satisfying some generalized Einstein metric condition
Ryszard Deszcz, Malgorzata Glogowska, Georges Zafindratafa
The difference tensor C.R - R.C of Einstein manifolds, some quasi-Einstein manifolds and Roter type manifolds, of dimension n > 3, satisfy the following curvature condition: (A) C.…
Curvature properties of some class of warped product manifolds
Ryszard Deszcz, Małgorzata Głogowska, Jan Jełowicki +1
Warped product manifolds with p-dimensional base, p=1,2, satisfy some curvature conditions of pseudosymmetry type. These conditions are formed from the metric tensor g, the Riemann…