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

Authors : Tuğba MERT, Mehmet ATÇEKEN

Pages : 44-59

Doi:10.33434/cams.1236095

View : 17 | Download : 6

Publication Date : 2023-03-31

Article Type : Research Paper

Abstract :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.
Keywords : Ricci pseudosymmetric Manifold, η Ricci Soliton, Lorentz Sasakian Space Form