In this paper, we consider Lorentz generalized Sasakian space forms admitting almost $\eta-$Ricci solitons in some curvature tensors. Ricci pseudosymmetry concepts of \ Lorentz generalized Sasakian space forms admitting $\eta-$Ricci soliton have introduced according to the choice of some special curvature tensors such as Riemann, concircular, projective, $\mathcal{M-}$projective, $W_{1}$ and $W_{2}.$ Then, again according to the choice of the curvature tensor, necessary conditions are given for Lorentz generalized Sasakian space form admitting $\eta-$Ricci soliton to be Ricci semisymmetric. Then some characterizations are obtained and some classifications have made.
Ricci-pseudosymmetric Manifold η-Ricci Soliton Generalized Lorentz Sasakian Space Form
Birincil Dil | İngilizce |
---|---|
Konular | Matematik |
Bölüm | Makaleler |
Yazarlar | |
Yayımlanma Tarihi | 1 Temmuz 2023 |
Gönderilme Tarihi | 16 Ocak 2023 |
Kabul Tarihi | 3 Nisan 2023 |
Yayımlandığı Sayı | Yıl 2023 Cilt: 6 Sayı: 2 |
Universal Journal of Mathematics and Applications
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