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Journals / International Electronic Journal of Geometry / 2026 / Volume: 14 Issue: 1

Some Results of $f$-Harmonic and Bi-$f$-Harmonic Maps with Potential

Zegga Kaddour(Mascara university)0000-0002-2888-2119
Pages
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Publication Date
2021-04-15
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AI Summary & Key Takeaways

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

More, we study the case of conformal maps between equidimensional manifolds.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this note, we characterize the $f$-harmonic maps and bi-$f$-harmonic maps with potential.
📊
Key Findings & Data:We prove that every bi-$f$-harmonic map with potential from complete Riemannian manifold, satisfying some conditions is a $f$-harmonic map with potential.
💡
Conclusion & Impact:More, we study the case of conformal maps between equidimensional manifolds.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:f-harmonic maps with potential · bi-f-harmonic maps with potential · H-f-energy

Abstract

In this note, we characterize the $f$-harmonic maps and bi-$f$-harmonic maps with potential. We prove that every bi-$f$-harmonic map with potential from complete Riemannian manifold, satisfying some conditions is a $f$-harmonic map with potential. More, we study the case of conformal maps between equidimensional manifolds.

Özet

In this note we characterize the f-harmonic maps and bi-f-harmonic maps with potential.We prove that every bi-f-harmonic map with potential from complete Riemannian manifold, satisfying some conditions is a f-harmonic map with potential.

🔖

Cite This Article

Kaddour, Z. (2021). Some Results of $f$-Harmonic and Bi-$f$-Harmonic Maps with Potential. International Electronic Journal of Geometry, Volume: 14 Issue: 1. https://doi.org/10.36890/iejg.713254

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