- Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
- Vol: 71 Issue: 4
- Some results on pseudosymmetric normal paracontact metric manifolds
Some results on pseudosymmetric normal paracontact metric manifolds
Authors : Mehmet Atçeken, Tuğba Mert
Pages : 1044-1058
Doi:10.31801/cfsuasmas.937043
View : 12 | Download : 4
Publication Date : 2022-12-30
Article Type : Research
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 η η -Einstein manifold. Finally, we support our topic with an example.Keywords : M-projective curvature tensor, Weyl curvature tensor, Einstein manifold, $\\eta$-Einstein manifold