On some important characterizations of Lorentz para-Kenmotsu manifolds on some special curvature tensors
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Tarih
2024
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
World Scientific
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In 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.
Açıklama
Anahtar Kelimeler
Lorentzian Manifold, Para-Kenmotsu Manifold, Pseudoparallel Submanifold
Kaynak
World Scientific
WoS Q Değeri
N/A
Scopus Q Değeri
Q3
Cilt
17
Sayı
1
