On Para-Sasakian Manifolds Satisfying Certain Curvature Conditions with Canonical Paracontact Connection

Abstract

In this article, the aim is to introduce a para-Sasakian manifold with acanonical paracontact connection. It is shown that $varphi$-conharmonically flat, $varphi $-$W_{2}$ flat and $varphi $-pseudo projectively flat para-Sasakian manifolds with respect to canonical paracontact connection are all $eta $-Einsteinmanifolds. Also, we prove that quasi-pseudo projectively flatpara-Sasakian manifolds are of constant scalar curvatures.