Semi-symmetric almost C(α)-manifold on some curvature tensors

Abstract

In this article, semi-symmetry of almost C(α)-manifold is investigated on some special curvature tensors. First, the behavior of the almost C(α)-manifold is investigated when the special curvature tensors discussed are flat. Then, for these special curvature tensors, the behavior of the manifold in the semi-symmetric condition is observed and for some special curvature tensors, important properties such as the semi-symmetric almost C(α)-manifold being Einstein and η-Einstein manifold are obtained.