Some results on pseudosymmetric normal paracontact metric manifolds

Year 2022, Volume: 71 Issue: 4, 1044 - 1058, 30.12.2022

Mehmet Atçeken , Tuğba Mert

https://doi.org/10.31801/cfsuasmas.937043

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 $\eta$-Einstein manifold. Finally, we support our topic with an example.

Keywords

M-projective curvature tensor, Weyl curvature tensor, Einstein manifold, $\eta$-Einstein manifold

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