On para-Sasakian manifolds with a canonical paracontact connection

Abstract

The object of the present paper is to study a para-Sasakian manifold with a canonical paracontact connection. We prove that conformally flat, concircularly flat and projectively flat para-Sasakian manifolds with respect to canonical paracontact connection are all Einstein manifolds. Also, it is shown that a quasi-concircularly flat para-Sasakian manifold is of constant scalar curvature.