Some results on pseudosymmetric normal paracontact metric manifolds

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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