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

Tuğba Mert; Mehmet Atçeken

doi:10.32323/ujma.1236596

EN

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

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

References

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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Tuğba Mert ^*
0000-0001-8258-8298
Türkiye

Mehmet Atçeken
0000-0002-1242-4359
Türkiye

Publication Date

July 1, 2023

Submission Date

January 16, 2023

Acceptance Date

April 3, 2023

Published in Issue

Year 2023 Volume: 6 Number: 2

DOI

https://doi.org/10.32323/ujma.1236596

IZ

https://izlik.org/JA28MT67MP

APA

Mert, T., & Atçeken, M. (2023). On the Almost $\eta-$Ricci Solitons on Pseudosymmetric Lorentz Generalized Sasakian Space Forms. Universal Journal of Mathematics and Applications, 6(2), 43-52. https://doi.org/10.32323/ujma.1236596

AMA

1.Mert T, Atçeken M. On the Almost $\eta-$Ricci Solitons on Pseudosymmetric Lorentz Generalized Sasakian Space Forms. Univ. J. Math. Appl. 2023;6(2):43-52. doi:10.32323/ujma.1236596

Chicago

Mert, Tuğba, and Mehmet Atçeken. 2023. “On the Almost $\eta-$Ricci Solitons on Pseudosymmetric Lorentz Generalized Sasakian Space Forms”. Universal Journal of Mathematics and Applications 6 (2): 43-52. https://doi.org/10.32323/ujma.1236596.

EndNote

Mert T, Atçeken M (July 1, 2023) On the Almost $\eta-$Ricci Solitons on Pseudosymmetric Lorentz Generalized Sasakian Space Forms. Universal Journal of Mathematics and Applications 6 2 43–52.

IEEE

[1]T. Mert and M. Atçeken, “On the Almost $\eta-$Ricci Solitons on Pseudosymmetric Lorentz Generalized Sasakian Space Forms”, Univ. J. Math. Appl., vol. 6, no. 2, pp. 43–52, July 2023, doi: 10.32323/ujma.1236596.

ISNAD

Mert, Tuğba - Atçeken, Mehmet. “On the Almost $\eta-$Ricci Solitons on Pseudosymmetric Lorentz Generalized Sasakian Space Forms”. Universal Journal of Mathematics and Applications 6/2 (July 1, 2023): 43-52. https://doi.org/10.32323/ujma.1236596.

JAMA

1.Mert T, Atçeken M. On the Almost $\eta-$Ricci Solitons on Pseudosymmetric Lorentz Generalized Sasakian Space Forms. Univ. J. Math. Appl. 2023;6:43–52.

MLA

Mert, Tuğba, and Mehmet Atçeken. “On the Almost $\eta-$Ricci Solitons on Pseudosymmetric Lorentz Generalized Sasakian Space Forms”. Universal Journal of Mathematics and Applications, vol. 6, no. 2, July 2023, pp. 43-52, doi:10.32323/ujma.1236596.

Vancouver

1.Tuğba Mert, Mehmet Atçeken. On the Almost $\eta-$Ricci Solitons on Pseudosymmetric Lorentz Generalized Sasakian Space Forms. Univ. J. Math. Appl. 2023 Jul. 1;6(2):43-52. doi:10.32323/ujma.1236596