Curvature properties of certain compact pseudosymmetric manifolds
Certain curvature characterizations of affine hypersurfaces
On four-dimensional Riemannian warped product manifolds satisfying certain pseudo-symmetry curvature conditions
On some Akivis - Goldberg Type Metrics
On Hypercylinders in Conformally Symmetric Manifolds
On manifolds satisfying some curvature conditions
On certain curvature conditions on Riemannian manifolds
A note on geodesic mappings of pseudosymmetric Riemannian manifolds
Curvature properties of Cartan hypersurfaces
On a particular class of warped products with fibres locally isometric to generalized Cartan hypersurfaces
We prove that every generalized Cartan hypersurface satisfies the so called Roter type equation. Using this fact, we construct a particular class of generalized Robertson-Walker spacetimes.
Examples of nonsemisymmetric Ricci-semisymmetric hypersurfaces
We construct a class of nonsemisymmetric Ricci-semisymmetric warped products. Some manifolds of this class can be locally realized as hypersurfaces of a semi-Euclidean space , n ≥ 5.
On some class of pseudosymmetric warped products
We present curvature properties of pseudosymmetry type of some warped products of semi-Riemannian spaces of constant curvature.
On Riemannian manifolds satisfying a certain curvature condition imposed on the Weyl curvature tensor
Some Nonsemisymmetric Ricci-semisymmetric Warped Product Hypersurfaces
On a Certain Extension of the Class of Semisymmetric Manifolds
On the equivalence of the Ricci-pseudosymmetry and pseudosymmetry
On pseudosymmetric para-Kähler manifolds
On Weyl pseudosymmetric hypersurfaces
Quasi-Einstein hypersurfaces in semi-Riemannian space forms
We investigate curvature properties of hypersurfaces of a semi-Riemannian space form satisfying R·C = LQ(S,C), which is a curvature condition of pseudosymmetry type. We prove that under some additional assumptions the ambient space of such hypersurfaces must be semi-Euclidean and that they are quasi-Einstein Ricci-semisymmetric manifolds.
Semisymmetry and Ricci-symmetry for Hypersurfaces of Semi-euclidean Spaces
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