4 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 Thurston's geometrical space form problem: on quasi space forms
Stefan Haesen, Miroslava Petrović-Torgašev, Leopold Verstraelen
A proposal is made for what may well be the most elementary Riemannian spaces which are homogeneous but not isotropic. In other words: a proposal is made for what may well be the n…
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…