• QUARTER-SYMMETRIC METRIC CONNECTION ON A SASAKIAN MANIFOLD

Riddhi Jung Shah*

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.

Keywords


Quarter-symmetric metric connection, concircular curvature tensor, pseudo-projective curvature tensor, quasi-conformal curvature tensor, Sasakian manifold.

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