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

Tuğba Mert; Mehmet Atçeken

doi:10.33434/cams.1236095

EN

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

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

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

March 31, 2023

Submission Date

January 16, 2023

Acceptance Date

March 20, 2023

Published in Issue

Year 2023 Volume: 6 Number: 1

DOI

https://doi.org/10.33434/cams.1236095

IZ

https://izlik.org/JA27SG23RA

APA

Mert, T., & Atçeken, M. (2023). Almost $\eta-$Ricci Solitons on Pseudosymmetric Lorentz Sasakian Space Forms. Communications in Advanced Mathematical Sciences, 6(1), 44-59. https://doi.org/10.33434/cams.1236095

AMA

1.Mert T, Atçeken M. Almost $\eta-$Ricci Solitons on Pseudosymmetric Lorentz Sasakian Space Forms. Communications in Advanced Mathematical Sciences. 2023;6(1):44-59. doi:10.33434/cams.1236095

Chicago

Mert, Tuğba, and Mehmet Atçeken. 2023. “Almost $\eta-$Ricci Solitons on Pseudosymmetric Lorentz Sasakian Space Forms”. Communications in Advanced Mathematical Sciences 6 (1): 44-59. https://doi.org/10.33434/cams.1236095.

EndNote

Mert T, Atçeken M (March 1, 2023) Almost $\eta-$Ricci Solitons on Pseudosymmetric Lorentz Sasakian Space Forms. Communications in Advanced Mathematical Sciences 6 1 44–59.

IEEE

[1]T. Mert and M. Atçeken, “Almost $\eta-$Ricci Solitons on Pseudosymmetric Lorentz Sasakian Space Forms”, Communications in Advanced Mathematical Sciences, vol. 6, no. 1, pp. 44–59, Mar. 2023, doi: 10.33434/cams.1236095.

ISNAD

Mert, Tuğba - Atçeken, Mehmet. “Almost $\eta-$Ricci Solitons on Pseudosymmetric Lorentz Sasakian Space Forms”. Communications in Advanced Mathematical Sciences 6/1 (March 1, 2023): 44-59. https://doi.org/10.33434/cams.1236095.

JAMA

1.Mert T, Atçeken M. Almost $\eta-$Ricci Solitons on Pseudosymmetric Lorentz Sasakian Space Forms. Communications in Advanced Mathematical Sciences. 2023;6:44–59.

MLA

Mert, Tuğba, and Mehmet Atçeken. “Almost $\eta-$Ricci Solitons on Pseudosymmetric Lorentz Sasakian Space Forms”. Communications in Advanced Mathematical Sciences, vol. 6, no. 1, Mar. 2023, pp. 44-59, doi:10.33434/cams.1236095.

Vancouver

1.Tuğba Mert, Mehmet Atçeken. Almost $\eta-$Ricci Solitons on Pseudosymmetric Lorentz Sasakian Space Forms. Communications in Advanced Mathematical Sciences. 2023 Mar. 1;6(1):44-59. doi:10.33434/cams.1236095

Cited By

Certain properties of η-Ricci soliton on η-Einstein para-Kenmotsu manifolds

Filomat

https://doi.org/10.2298/FIL2328575A

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