- Universal Journal of Mathematics and Applications
- Vol: 6 Issue: 2
- On the Almost $\\eta-$Ricci Solitons on Pseudosymmetric Lorentz Generalized Sasakian Space Forms
On the Almost $\\eta-$Ricci Solitons on Pseudosymmetric Lorentz Generalized Sasakian Space Forms
Authors : Tuğba Mert, Mehmet Atçeken
Pages : 43-52
Doi:10.32323/ujma.1236596
View : 68 | Download : 67
Publication Date : 2023-07-01
Article Type : Research Article
Abstract :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.Keywords : Ricci-pseudosymmetric Manifold, η-Ricci Soliton, Generalized Lorentz Sasakian Space Form