On an Almost C(α) -Manifold Satisfying Certain Conditions on the Concircular Curvature Tensor

摘要

We classify almost C(α) -manifolds, which satisfy the curvature conditions Z(ζ,X)R = 0, Z(ζ,X)Z = 0, Z(ζ,C)S = 0 and Z(ζ,X)P = 0, where Z is the concircular curvature tensor, P is the Weyl projective curvature tensor, S is the Ricci tensor and R is Riemannian curvature tensor of manifold.