Almost $\eta-$Ricci Solitons on Pseudosymmetric Lorentz Sasakian Space Forms

Yıl 2023, Cilt: 6 Sayı: 1, 44 - 59, 31.03.2023

Tuğba Mert , Mehmet Atçeken

https://doi.org/10.33434/cams.1236095

Cited By: 1

Öz

In this paper, we consider pseudosymmetric Lorentz Sasakian space forms admitting almost $\eta-$Ricci solitons in some curvature tensors. Ricci pseudosymmetry concepts of Lorentz Sasakian space forms admits $\eta-$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 Sasakian space form admits $\eta-$Ricci soliton to be Ricci semisymmetric. Then some characterizations are obtained and some classifications have made under the some conditions.

Anahtar Kelimeler

Ricci-pseudosymmetric Manifold, η-Ricci Soliton, Lorentz Sasakian Space Form

Kaynakça

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