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 ϕ−conformally flat, ϕ−concircularly flat and ϕ−projectively flat para-Sasakian manifolds with respect to c anonical paracontact connection are all η−Einstein manifolds. Also, it is shown that a quasi-concircularly flat para-Sasakian manifold is of constant scalar curvature.