3 papers
math.DG2024
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…
math.DG2019
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…
math.DG2018
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.…