Let (M g) be a connected n-dimensional, n 3, semi-Riemannian manifold of class C1and let
rbe its Levi–Civita connection. A manifold (M g) is said to be an Einstein manifold if the …

The derivation-commutator R⋅CC⋅R of a semi-Riemannian manifold (M,g), \dimM≧4,
formed by its Riemann-Christoffel curvature tensor R and the Weyl conformal curvature …

We prove that warped product manifolds with p-dimensional base, p= 1, 2, satisfy some
pseudosymmetry type curvature conditions. These conditions are formed from the metric …

In the literature of Riemannian geometry there are many conditions for the equivalency of
semisymmetric (resp., pseudosymmetric) and Ricci-semisymmetric (resp., Ricci …

A proposal is made for what could well be the most natural symmetrical Riemannian spaces
which are homogeneous but not isotropic, ie of what could well be the most natural class of …

The projective curvature tensor is an invariant under geodesic preserving transformations on
semi-Riemannian manifolds. It possesses different geometric properties than other …

Let (M, g) be a connected n-dimensional (n~ 3) smooth semi-Riemannian manifold. We
denote by V, ti., R, S, C and T, the Levi Civita connection, the curvature operator, the …

On warped product manifolds satisfying some curvature conditions - ScienceDirect Skip to
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ON RIEMANN AND WEYL COMPATIBLE TENSORS Ryszard Deszcz, Małgorzata Głogowska,
Jan Jełowicki, Miroslava Petrović-Torgašev, an Page 1 PUBLICATIONS DE L’INSTITUT …

We investigate warped products satisfying the Roter type equation. Important examples of
such manifolds are certain generalized Robertson–Walker spacetimes, and a number of …