Some results on pseudosymmetric normal paracontact metric manifolds

Authors : Mehmet ATÇEKEN, Tuğba MERT

Pages : 1044-1058

Doi:10.31801/cfsuasmas.937043

View : 11 | Download : 6

Publication Date : 2022-12-30

Article Type : Research Paper

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