Covector Fields which are Harmonic Maps in the Cotangent Bundle Equipped with the Horizontally Deformed Sasaki Metric

Abderrahım Zagane; Medjahed Djilali

doi:10.47000/tjmcs.1743355

Covector Fields which are Harmonic Maps in the Cotangent Bundle Equipped with the Horizontally Deformed Sasaki Metric

Abstract

In this paper, we investigate some harmonicity properties of a covector field in the cotangent bundle endowed with the horizontally deformed Sasaki metric, and then we establish necessary and sufficient conditions for a covector field to be a harmonic map (or harmonic covector field) concerning this metric. We also provide explicit examples of such harmonic covector fields to illustrate the theoretical results.

Keywords

Thanks

Dear Editor-in-Chief, Thank you for accepting the submission of our manuscript titled "Covector Fields which are Harmonic Maps in the Cotangent Bundle Equipped with the Horizontally Deformed Sasaki Metric." We would be very pleased if our manuscript meets the publishing standards of the Turkish Journal of Mathematics and Computer Science. Thank you once again. Sincerely, Dr. Abderrahim ZAGANE

References

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Details

Primary Language

English

Subjects

Algebraic and Differential Geometry

Journal Section

Research Article

Authors

Abderrahım Zagane ^*
0000-0001-9339-3787
Algeria

Medjahed Djilali
0000-0002-4390-9404
Algeria

Publication Date

June 30, 2026

Submission Date

July 21, 2025

Acceptance Date

January 29, 2026

Published in Issue

Year 2026 Volume: 18 Number: 2

DOI

https://doi.org/10.47000/tjmcs.1743355

IZ

https://izlik.org/JA26SM64ZJ

Cite

RIS / Bibtex

APA

Zagane, A., & Djilali, M. (2026). Covector Fields which are Harmonic Maps in the Cotangent Bundle Equipped with the Horizontally Deformed Sasaki Metric. Turkish Journal of Mathematics and Computer Science, 18(2), 406-418. https://doi.org/10.47000/tjmcs.1743355

AMA

1.Zagane A, Djilali M. Covector Fields which are Harmonic Maps in the Cotangent Bundle Equipped with the Horizontally Deformed Sasaki Metric. TJMCS. 2026;18(2):406-418. doi:10.47000/tjmcs.1743355

Chicago

Zagane, Abderrahım, and Medjahed Djilali. 2026. “Covector Fields Which Are Harmonic Maps in the Cotangent Bundle Equipped With the Horizontally Deformed Sasaki Metric”. Turkish Journal of Mathematics and Computer Science 18 (2): 406-18. https://doi.org/10.47000/tjmcs.1743355.

EndNote

Zagane A, Djilali M (June 1, 2026) Covector Fields which are Harmonic Maps in the Cotangent Bundle Equipped with the Horizontally Deformed Sasaki Metric. Turkish Journal of Mathematics and Computer Science 18 2 406–418.

IEEE

[1]A. Zagane and M. Djilali, “Covector Fields which are Harmonic Maps in the Cotangent Bundle Equipped with the Horizontally Deformed Sasaki Metric”, TJMCS, vol. 18, no. 2, pp. 406–418, June 2026, doi: 10.47000/tjmcs.1743355.

ISNAD

Zagane, Abderrahım - Djilali, Medjahed. “Covector Fields Which Are Harmonic Maps in the Cotangent Bundle Equipped With the Horizontally Deformed Sasaki Metric”. Turkish Journal of Mathematics and Computer Science 18/2 (June 1, 2026): 406-418. https://doi.org/10.47000/tjmcs.1743355.

JAMA

1.Zagane A, Djilali M. Covector Fields which are Harmonic Maps in the Cotangent Bundle Equipped with the Horizontally Deformed Sasaki Metric. TJMCS. 2026;18:406–418.

MLA

Zagane, Abderrahım, and Medjahed Djilali. “Covector Fields Which Are Harmonic Maps in the Cotangent Bundle Equipped With the Horizontally Deformed Sasaki Metric”. Turkish Journal of Mathematics and Computer Science, vol. 18, no. 2, June 2026, pp. 406-18, doi:10.47000/tjmcs.1743355.

Vancouver

1.Abderrahım Zagane, Medjahed Djilali. Covector Fields which are Harmonic Maps in the Cotangent Bundle Equipped with the Horizontally Deformed Sasaki Metric. TJMCS. 2026 Jun. 1;18(2):406-18. doi:10.47000/tjmcs.1743355