Some results on pseudosymmetric normal paracontact metric manifolds
TIn 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...
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| Veröffentlicht in: | Communications Series A1 Mathematics & Statistics 2022-12, Vol.71 (4), p.1044-1057 |
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| container_title | Communications Series A1 Mathematics & Statistics |
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| creator | ATÇEKEN, Mehmet MERT, Tuğba |
| description | TIn 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. |
| doi_str_mv | 10.31801/cfsuasmas.937043 |
| format | Article |
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| language | eng |
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| title | Some results on pseudosymmetric normal paracontact metric manifolds |
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