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

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

Cite

RIS / Bibtex

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

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

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

Abstract

Keywords

Öz

References

Details

Primary Language

Subjects

Journal Section

Authors

Publication Date

Submission Date

Acceptance Date

Published in Issue

DOI

IZ

Cite

Cited By

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