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Dergiler / 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
Sayfa
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Yayın Tarihi
2022-06-01
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Besides, we obtain some nonexistence theorems.

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Amaç & Hipotez: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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Temel Bulgular & Veri: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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Sonuç & Katkı:Besides, we obtain some nonexistence theorems.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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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Bu Makaleye Atıf Yap

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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