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

Document Type: Original Article

Author

Faculty of Arts and Science, Department of Mathematics, Adıyaman University, Adıyaman, Turkey

Abstract

In this article, the aim is to introduce a para-Sasakian manifold with a
canonical 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 $-Einstein
manifolds. Also, we prove that quasi-pseudo projectively flat
para-Sasakian manifolds are of constant scalar curvatures.

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Main Subjects