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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
More, we study the case ofconformal maps between equidimensional manifolds.
📌 3 Key Takeaways
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Objective & Hypothesis: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.
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Key Findings & Data: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.
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Conclusion & Impact:More, we study the case ofconformal maps between equidimensional manifolds.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters
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 ofconformal maps between equidimensional manifolds.
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Cite This Article
KADDOUR, Z. (2022). Some Results of f-Harmonic and Bi-f-Harmonic Maps with Potential. International Electronic Journal of Geometry, Cilt: 14 - Sayı: 1, 157–166. https://ajindex.com/articles/539591