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Journals / Mathematical Sciences and Applications E-Notes / 2018 / Cilt: 6 - Sayı: 1

Mus-Sasaki Metric and Harmonicity

Fethi LATTI
Mustapha DJAA
Abderrahim ZAGANE
Pages
29–36
DOI
—
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AI Summary & Key Takeaways

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

We also construct some examples of harmonic vector fields.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we introduce the Mus-Sasaki metric on the tangent bundle TM, as a new natural metric on TM.
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Key Findings & Data:We establish necessary and sufficient conditions under which a vector field is harmonic with respect to the Mus-Sasaki metric.
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Conclusion & Impact:We also construct some examples of harmonic vector fields.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Horizontal lift · vertical lift · Mus-Sasaki metric

Abstract

In this paper, we introduce the Mus-Sasaki metric on the tangent bundle TM, as a new natural metric on TM. We establish necessary and sufficient conditions under which a vector field is harmonic with respect to the Mus-Sasaki metric. We also construct some examples of harmonic vector fields.

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Cite This Article

LATTI, F., DJAA, M., ZAGANE, A. (2018). Mus-Sasaki Metric and Harmonicity. Mathematical Sciences and Applications E-Notes, Cilt: 6 - Sayı: 1, 29–36. https://ajindex.com/articles/283505

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