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Journals / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 51 Issue: 3

Some types of $f$-biharmonic and bi-$f$-harmonic curves

Feyza Esra Erdoğan(EGE UNIVERSITY)0000-0003-0568-7510
Şerife Nur Bozdağ(EGE UNIVERSITY)0000-0002-9651-7834
Pages
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Publication Date
2022-06-01
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AI Summary & Key Takeaways

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

Besides, we obtain some nonexistence theorems.

📌 3 Key Takeaways

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Objective & Hypothesis:In this paper, we determine necessary and sufficient conditions for a non-Frenet Legendre curve to be $f$-harmonic, $f$-biharmonic, bi-$f$-harmonic, biminimal and $f$-biminimal in three-dimensional normal almost paracontact metric manifold.
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Key Findings & Data:In this paper, we determine necessary and sufficient conditions for a non-Frenet Legendre curve to be $f$-harmonic, $f$-biharmonic, bi-$f$-harmonic, biminimal and $f$-biminimal in three-dimensional normal almost paracontact metric manifold.
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Conclusion & Impact:Besides, we obtain some nonexistence theorems.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:non-Frenet Legendre curves · f-harmonic curves · f-biharmonic curves

Abstract

In this paper, we determine necessary and sufficient conditions for a non-Frenet Legendre curve to be $f$-harmonic, $f$-biharmonic, bi-$f$-harmonic, biminimal and $f$-biminimal in three-dimensional normal almost paracontact metric manifold. Besides, we obtain some nonexistence theorems.

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Cite This Article

Erdoğan, F. E., Bozdağ, Ş. N. (2022). Some types of $f$-biharmonic and bi-$f$-harmonic curves. Hacettepe Journal of Mathematics and Statistics, Volume: 51 Issue: 3. https://doi.org/10.15672/hujms.804821

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