33 citations · 33 across the 8 of their papers we have counts for
8 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 spaces of constant curvature satisfying a particular Roter type equation
Ryszard Deszcz, Małgorzata Głogowska, Marian Hotloś +1
We investigate hypersurfaces M isometrically immersed in an (n+1)-dimensional semi-Riemannian space of constant curvature, n > 3, such that the operator A^3, where A is the shape o…
On hypersurfaces satisfying conditions determined by the Opozda-Verstraelen affine curvature tensor
Ryszard Deszcz, Małgorzata Głogowska, Marian Hotloś
Using the Blaschke-Berwald metric and the affine shape operator of a hypersurface M in the (n+1)-dimensional real affine space we can define some generalized curvature tensor named…
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…