On Almost C(α)-Manifold Satisfying Certain Curvature Conditions

Tuğba Mert; Mehmet Atçeken; Pakize Uygun

doi:10.17776/csj.1312302

EN

On Almost C(α)-Manifold Satisfying Certain Curvature Conditions

Abstract

This research article is about the geometry of the almost C(α)- manifold. Some important properties of the almost C(α)- manifold with respect to the W_3- curvature tensor, such as W_3-flat and W_3- semi-symmetry, are investigated. The relationship of W_3- curvature tensor with Riemann, Ricci, projective, concircular and quasi-conformal curvature tensor is discussed on the almost C(α)- manifold and many important results are obtained. In addition, W_3- pseudo symmetry and W_3- Ricci pseudo symmetry are investigated for the almost C(α)- manifold. The results obtained are interesting and give an idea about the geometry of the almost C(α)- manifold.

Keywords

C(α)-Manifold, W_3-Curvature Tensor, Pseudo-symmetric manifold

References

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Details

Primary Language

English

Subjects

Atomic, Molecular and Optical Physics (Other)

Journal Section

Research Article

Authors

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

Mehmet Atçeken
0000-0002-1242-4359
Türkiye

Pakize Uygun
0000-0001-8226-4269
Türkiye

Publication Date

March 28, 2024

Submission Date

June 9, 2023

Acceptance Date

December 21, 2023

Published in Issue

Year 2024 Volume: 45 Number: 1

DOI

https://doi.org/10.17776/csj.1312302

IZ

https://izlik.org/JA25WG57KT

APA

Mert, T., Atçeken, M., & Uygun, P. (2024). On Almost C(α)-Manifold Satisfying Certain Curvature Conditions. Cumhuriyet Science Journal, 45(1), 135-146. https://doi.org/10.17776/csj.1312302

AMA

1.Mert T, Atçeken M, Uygun P. On Almost C(α)-Manifold Satisfying Certain Curvature Conditions. CSJ. 2024;45(1):135-146. doi:10.17776/csj.1312302

Chicago

Mert, Tuğba, Mehmet Atçeken, and Pakize Uygun. 2024. “On Almost C(α)-Manifold Satisfying Certain Curvature Conditions”. Cumhuriyet Science Journal 45 (1): 135-46. https://doi.org/10.17776/csj.1312302.

EndNote

Mert T, Atçeken M, Uygun P (March 1, 2024) On Almost C(α)-Manifold Satisfying Certain Curvature Conditions. Cumhuriyet Science Journal 45 1 135–146.

IEEE

[1]T. Mert, M. Atçeken, and P. Uygun, “On Almost C(α)-Manifold Satisfying Certain Curvature Conditions”, CSJ, vol. 45, no. 1, pp. 135–146, Mar. 2024, doi: 10.17776/csj.1312302.

ISNAD

Mert, Tuğba - Atçeken, Mehmet - Uygun, Pakize. “On Almost C(α)-Manifold Satisfying Certain Curvature Conditions”. Cumhuriyet Science Journal 45/1 (March 1, 2024): 135-146. https://doi.org/10.17776/csj.1312302.

JAMA

1.Mert T, Atçeken M, Uygun P. On Almost C(α)-Manifold Satisfying Certain Curvature Conditions. CSJ. 2024;45:135–146.

MLA

Mert, Tuğba, et al. “On Almost C(α)-Manifold Satisfying Certain Curvature Conditions”. Cumhuriyet Science Journal, vol. 45, no. 1, Mar. 2024, pp. 135-46, doi:10.17776/csj.1312302.

Vancouver

1.Tuğba Mert, Mehmet Atçeken, Pakize Uygun. On Almost C(α)-Manifold Satisfying Certain Curvature Conditions. CSJ. 2024 Mar. 1;45(1):135-46. doi:10.17776/csj.1312302

Cited By

Some Solitons on Anti-Invariant Submanifolds of Para-Sasakian Manifold Admitting Semi-Symmetric Non-Metric Connection

Symmetry

https://doi.org/10.3390/sym18010030

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