III-harmonic Curves in 


SL2ℝ˜
\widetilde {{\rm{S}}{{\rm{L}}_2}\mathbb{R}}

 Space

Senoussi, Bendehiba

doi:10.2478/awutm-2024-0010

Abstract

Some work has been done in the study of non-geodesic III-harmonic curves in some model spaces. In this paper, we study III-harmonic curves in $\tilde{{SL}_{2} ℝ}$ \widetilde {{\rm{S}}{{\rm{L}}_2}\mathbb{R}} space. We give necessary and su cient conditions for helices to be III-harmonic. Also, we characterize III-harmonic curves in terms of their curvature and torsion.

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III-harmonic Curves in SL2ℝ˜ \widetilde {{\rm{S}}{{\rm{L}}_2}\mathbb{R}} Space

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