On some important characterizations of Lorentz para-Kenmotsu manifolds on some special curvature tensors

Basit Öğe Kaydı
dc.authoridATCEKEN, Mehmet/0000-0002-1242-4359
dc.contributor.authorMert, Tugba
dc.contributor.authorAtceken, Mehmet
dc.date.accessioned2024-10-26T18:04:19Z
dc.date.available2024-10-26T18:04:19Z
dc.date.issued2024
dc.departmentSivas Cumhuriyet Üniversitesi
dc.description.abstractIn this paper, some properties of Lorentz para-Kenmotsu manifolds are studied using specified curvature tensors. The Lorentz para-Kenmotsu manifold is investigated in terms of the curvature tensors W-8 and W-9. Initially, the tensor-based characterization of semisymmetric Lorentz para-Kenmotsu manifolds is studied. Subsequently, we consider the Lorentzian para-Kenmotsu manifold, which admits almost eta-Ricci solitons via these curvature tensors. According to the W-8 and W-9 curvature tensors, Ricci pseudosymmetry notions of Lorentzian para-Kenmotsu manifolds accepting eta-Ricci soliton have been developed. Following that, required conditions for the Lorentzian para-Kenmotsu manifold, admitting eta-Ricci soliton to be Ricci semisymmetric, are presented based on the curvature tensors chosen. Further, various characterizations are provided, and classifications are made under certain conditions. Finally, the characterizations of the invariant submanifolds of Lorentz para-Kenmotsu manifold on the W(8 )and W-9 curvature tensors are investigated. We obtained the necessary and sufficient conditions for an invariant submanifold of a para-Kenmotsu to be W-8 and W-9 pseudoparallel.
dc.identifier.doi10.1142/S1793557123502467
dc.identifier.issn1793-5571
dc.identifier.issn1793-7183
dc.identifier.issue1
dc.identifier.scopus2-s2.0-85182570252
dc.identifier.scopusqualityQ3
dc.identifier.urihttps://doi.org/10.1142/S1793557123502467
dc.identifier.urihttps://hdl.handle.net/20.500.12418/28869
dc.identifier.volume17
dc.identifier.wosWOS:001141863300001
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherWorld Scientific Publ Co Pte Ltd
dc.relation.ispartofAsian-European Journal of Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectLorentzian manifold
dc.subjectpara-Kenmotsu manifold
dc.subjectpseudoparallel submanifold
dc.titleOn some important characterizations of Lorentz para-Kenmotsu manifolds on some special curvature tensors
dc.typeArticle

Dosyalar

Koleksiyon

WoS İndeksli Yayınlar Koleksiyonu
Scopus İndeksli Yayınlar Koleksiyonu