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 : 73

Publication Date : 2023-07-01

Article Type : Research Paper

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