On Some Pseudosymmetry Type Curvature Condition
On Some Pseudosymmetry Type Curvature Condition
We prove that semi-Riemannian manifolds satisfying some curvature condition of pseudosymmetry type are semisym- metric.We give also some inverse theorems. IntroductionRecently, in [ $8|$ a curvature property of pseudosymmetry type of Einstein manifold has been found.Namely we have THEOREM 1.1 ([8], Theorem 3.1).On any semi-Riemannian Einstein manifold $(M, g),$ $n\geq …