@article { author = {Yüksel Perktaş, Selcen}, title = {On Para-Sasakian Manifolds Satisfying Certain Curvature Conditions with Canonical Paracontact Connection}, journal = {Khayyam Journal of Mathematics}, volume = {3}, number = {1}, pages = {33-43}, year = {2017}, publisher = {Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with the Center of Excellence in Analysis on Algebraic Structures)}, issn = {2423-4788}, eissn = {2423-4788}, doi = {10.22034/kjm.2017.45190}, 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.}, keywords = {Canonical connection,paracontact metric structure,normal structure}, url = {https://www.kjm-math.org/article_45190.html}, eprint = {https://www.kjm-math.org/article_45190_7d44a17d67db3000195bfd95cc73a650.pdf} }