67 citations · 137 across the 9 of their papers we have counts for
10 papers
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…
On geodesic mappings in particular class of Roter spaces
Ryszard Deszcz, Marian Hotloś
We determine a particular class of Roter type warped product manifolds. We show that every manifold of that class admits a geodesic mapping onto a some Roter type warped product ma…
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…
On pseudosymmetric manifolds
Absos Ali Shaikh, Ryszard Deszcz, Marin Hotlos +2
In the literature, there are two different notions of pseudosymmetric manifolds, one by Chaki [7] and other by Deszcz [16], and there are many papers related to these notions. The…
Curvature Properties of Gödel metric
Ryszard Deszcz, Marian Hotloś, Jan Jełowicki +2
The main aim of this article is to investigate the geometric structures admitting by the Gödel spacetime which produces a new class of semi-Riemannian manifolds (see Theorem 4.1 an…
On generalized Robertson-Walker spacetimes satisfying some curvature condition
Kadri Arslan, Ryszard Deszcz, Ridvan Ezentas +2
We give necessary and sufficient conditions for warped product manifolds with 1-dimensional base, and in particular, for generalized Robertson-Walker spacetimes, to satisfy some ge…