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

Autor: Mehmet Atçeken, Tuğba Mert
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Universal Journal of Mathematics and Applications, Vol 6, Iss 2, Pp 43-52 (2023)
Druh dokumentu: article
ISSN: 2619-9653
DOI: 10.32323/ujma.1236596
Popis: 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.
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