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Journals / Hacettepe Journal of Mathematics and Statistics / 2022 / Cilt: 51 - Sayı: 3

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

Feyza Esra ERDOĞAN
Şerife Nur BOZDAĞ
Pages
646–657
Publication Date
2022-06-01
DOI
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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, Cilt: 51 - Sayı: 3, 646–657. https://ajindex.com/articles/669190

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