5 papers · 1 filter
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…
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.…