On the Almost $\eta-$Ricci Solitons on Pseudosymmetric Lorentz Generalized Sasakian Space Forms-Reference-Cited by-同舟云学术

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

Published:2023-07-01 Issue:2 Volume:6 Page:43-52
ISSN:2619-9653
Container-title:Universal Journal of Mathematics and Applications
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Author:

MERT Tuğba¹^ORCID,ATÇEKEN Mehmet²^ORCID

Affiliation:

1. CUMHURİYET ÜNİVERSİTESİ

2. AKSARAY ÜNİVERSİTESİ

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.

Publisher

Universal Journal of Mathematics and Applications

Subject

Materials Chemistry,Economics and Econometrics,Media Technology,Forestry

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