@article{article_937043, title={Some results on pseudosymmetric normal paracontact metric manifolds}, journal={Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics}, volume={71}, pages={1044–1058}, year={2022}, DOI={10.31801/cfsuasmas.937043}, author={Atçeken, Mehmet and Mert, Tuğba}, keywords={M-projective curvature tensor, Weyl curvature tensor, Einstein manifold, $\eta$-Einstein manifold}, abstract={In this article, the M-projective and Weyl curvature tensors on a normal paracontact metric manifold are discussed. For normal paracontact metric manifolds, pseudosymmetric cases are investigated and some interesting results are obtained. We show that a semisymmetric normal paracontact manifold is of constant sectional curvature. We also obtain that a pseudosymmetric normal paracontact metric manifold is an <span class="MathJax_Preview" style="color:inherit;"> </span> <span class="mjx-chtml MathJax_CHTML" style="font-size:123%;"> <span class="mjx-math"> <span class="mjx-mrow"> <span class="mjx-mi"> <span class="mjx-char MJXc-TeX-math-I" style="padding-top:.191em;padding-bottom:.503em;padding-right:.006em;">η </span> </span> </span> </span> <span class="MJX_Assistive_MathML">η </span> </span>-Einstein manifold. Finally, we support our topic with an example.}, number={4}, publisher={Ankara University}