Curvature properties of certain compact pseudosymmetric manifolds
Curvature properties of certain compact pseudosymmetric manifolds
1. Introduction.Let (M, g) be a connected n-dimensional, n ≥ 3, Riemannian manifold of class C ∞ with a not necessarily definite metric g.We define on M the endomorphisms R(X, Y ) andrespectively, where ∇ is the Levi-Civita connection of (M, g) and X, Y, Z ∈ Ξ(M ), Ξ(M …