- Hacettepe Journal of Mathematics and Statistics
- Vol: 51 Issue: 3
- Some types of $f$-biharmonic and bi-$f$-harmonic curves
Some types of $f$-biharmonic and bi-$f$-harmonic curves
Authors : Feyza Esra Erdoğan, Şerife Nur Bozdağ
Pages : 646-657
Doi:10.15672/hujms.804821
View : 15 | Download : 8
Publication Date : 2022-06-01
Article Type : Research
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.Keywords : non-Frenet Legendre curves, f-harmonic curves, f-biharmonic curves, bi-f-harmonic curves, biminimal curves, f-biminimal curves, normal almost paracontact metric manifolds