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

Year 2022, Volume: 51 Issue: 3, 646 - 657, 01.06.2022

Feyza Esra Erdoğan Şerife Nur Bozdağ

https://doi.org/10.15672/hujms.804821

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

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