CHARACTERIZATION OF SOME SPECIAL CURVATURE TENSOR ON ALMOST C(\(\alpha\))-MANIFOLD

Abstract

In this article, the behavior of the C (\(\alpha\))-manifold satisfying pseudo-symmetric and Ricci pseudosymmetric manifold on the \(\sigma\)1−curvature tensor, \(\sigma\)2−curvature tensor, \(\sigma\)3−curvature tensor, \(\sigma\)4−curvature tensor are investigated. In addition, the atness of these curvature tensors on the C (\(\alpha\))- manifold are investigated and are characterized for each curvature tensor.