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.
Yüksel Perktaş, S. (2017). On Para-Sasakian Manifolds Satisfying Certain Curvature Conditions with Canonical Paracontact Connection. Khayyam Journal of Mathematics, 3(1), 33-43. doi: 10.22034/kjm.2017.45190
MLA
Selcen Yüksel Perktaş. "On Para-Sasakian Manifolds Satisfying Certain Curvature Conditions with Canonical Paracontact Connection". Khayyam Journal of Mathematics, 3, 1, 2017, 33-43. doi: 10.22034/kjm.2017.45190
HARVARD
Yüksel Perktaş, S. (2017). 'On Para-Sasakian Manifolds Satisfying Certain Curvature Conditions with Canonical Paracontact Connection', Khayyam Journal of Mathematics, 3(1), pp. 33-43. doi: 10.22034/kjm.2017.45190
VANCOUVER
Yüksel Perktaş, S. On Para-Sasakian Manifolds Satisfying Certain Curvature Conditions with Canonical Paracontact Connection. Khayyam Journal of Mathematics, 2017; 3(1): 33-43. doi: 10.22034/kjm.2017.45190