Dergiler / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2022 / Cilt: 71 - Sayı: 4

Some results on pseudosymmetric normal paracontact metric manifolds

Some results on pseudosymmetric normal paracontact metric manifolds

Sayfa
1044–1058
DOI
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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 ηη-Einstein manifold. Finally, we support our topic with an example.