ON A TYPE OF SEMI-SYMMETRIC NON-METRIC CONNECTION ON A RİEMANNIAN MANIFOLD

The concept of semi-symmetric non-metric connection on a Riemannian manifold has been introduced by Agashe and Chafle [1]. The properties of a Riemannian manifold admitting a semi-symmetric non-metric connection with recurrent torsion tensor have been studied in [2] .In the present paper we study a type of semi-symmetric non-metric connection Which satisfying R(X, Y). T = 0 and to( R(X,Y)Z) = 0, where T is the torsion tensor of the semi-symmetric non-metric connection, R is the curvature tensor porresponding to Vand co is the associated 1-form of T.