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

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dc.contributor.authorMert, Tuğba
dc.contributor.authorAtçeken, Mehmet
dc.date.accessioned2024-07-23T06:23:21Z
dc.date.available2024-07-23T06:23:21Z
dc.date.issued2024
dc.departmentSabire Yazıcı Fen Edebiyat Fakültesi
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 W8 and W9. Initially, the tensor-based characterization of semisymmetric Lorentz para-Kenmotsu manifolds is studied. Subsequently, we consider the Lorentzian para-Kenmotsu manifold, which admits almost ?-Ricci solitons via these curvature tensors. According to the W8 and W9 curvature tensors, Ricci pseudosymmetry notions of Lorentzian para-Kenmotsu manifolds accepting ?-Ricci soliton have been developed. Following that, required conditions for the Lorentzian para-Kenmotsu manifold, admitting ?-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 W8 and W9 curvature tensors are investigated. We obtained the necessary and sufficient conditions for an invariant submanifold of a para-Kenmotsu to be W8 and W9 pseudoparallel.
dc.identifier.doi10.1142/S1793557123502467
dc.identifier.issn1793-5571
dc.identifier.issue1en_US
dc.identifier.scopusqualityQ3
dc.identifier.urihttps:/dx.doi.org/10.1142/S1793557123502467
dc.identifier.urihttps://hdl.handle.net/20.500.12451/12202
dc.identifier.volume17en_US
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherWorld Scientific
dc.relation.ispartofWorld Scientific
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

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