Abstract. The purpose of this paper is to classify α-para Kenmotsu manifolds M 3 such that the projection of the image of concircular curvature tensor L in one-dimensional linear subspace of Tp(M 3 ) generated by ξp is zero.

In present paper we study the properties of Kahler manifold satisfying the semi - symmetric metric connection. Symmetric and skew-symmetric conditions for Nijenhuis tensor of the connection in Kahler manifold has been discussed. The paper also includes some properties of contravariant almost analytic vector field in a Kahler manifold.

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In 1970, S.I. Goldberg and K. Yano introduced the notion of noninvariant hypersurface   M  .The present paper deals with the properties of noninvariant hypersurfaces of para Sasakian manifold.Some theorems are obtained.