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 : 19 | Download : 7

Publication Date : 2022-06-01

Article Type : Research Paper

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