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
Hauptverfasser: ATÇEKEN, Mehmet, MERT, Tuğba
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:1303-5991
DOI:10.31801/cfsuasmas.937043