• QUARTER-SYMMETRIC METRIC CONNECTION ON A SASAKIAN MANIFOLD

Abstract

The purpose of the present paper is to study a quarter-symmetric metric connection on a Sasakian manifold. We study the concircular curvature tensor with respect to the quarter-symmetric metric connection satisfying the condition . We also study -pseudo projectively flat and pseudo-projectively flat Sasakian manifold with respect to the quarter-symmetric metric connection. Next, we investigate the nature of semi-symmetric Sasakian manifold admitting quarter-symmetric metric connection. Finally we study quasi-conformally flat Sasakian manifold with respect to the quarter-symmetric metric connection and prove that the manifold is an -Einstein manifold.