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Journals / Turkish Journal of Mathematics and Computer Science / 2026 / Volume: 18 Issue: 2

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

Abderrahım Zagane(Ahmed Zabana Relizane University)0000-0001-9339-3787
Medjahed Djilali(Ahmed Zabana Relizane University)0000-0002-4390-9404
Pages
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Publication Date
2026-06-30
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

We also provide explicit examples of such harmonic covector fields to illustrate the theoretical results.

📌 3 Key Takeaways

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Objective & Hypothesis: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.
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Key Findings & Data: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.
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Conclusion & Impact:We also provide explicit examples of such harmonic covector fields to illustrate the theoretical results.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Cotangent bundle · horizontally deformed Sasaki metric · harmonic maps

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.

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Cite This Article

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, Volume: 18 Issue: 2. https://doi.org/10.47000/tjmcs.1743355

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