Some results on pseudosymmetric normal paracontact metric manifolds
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Date
2022
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Publisher
Ankara Üniversitesi
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
-Einstein manifold. Finally, we support our topic with an example.
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Keywords
M-projective curvature tensor, Weyl curvature tensor, Einstein manifold, η -Einstein manifold