Semi-symmetry type $\alpha$-Sasakian manifolds

Abstract

Recently the present author introduced the notion of generalized quasi-conformal curvature tensor which bridges Conformal curvature tensor, Concircular curvature tensor, Projective curvature tensor and Conharmonic curvature tensor. This article attempts to charectrize -Sasakian manifolds with \omega(X; Y ) \cdot W = 0. Based on this curvature conditions, we obtained and tabled the expression for the Ricci tensor for the respective semi-symmetry type \alpha-Sasakian manifolds.