Open Access

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

Bendehiba Senoussi

Bendehiba Senoussi

Department of Mathematics, Higher Normal School of MostaganemMostaganem, Algeria
Search for this author on
Sciendo|Google Scholar
Senoussi, Bendehiba
  
Dec 24, 2024
III-harmonic Curves in SL2ℝ˜ \widetilde {{\rm{S}}{{\rm{L}}_2}\mathbb{R}} Space's Cover Image
About this article
Previous Article
Next Article
Cite
Download Cover
Published Online: Dec 24, 2024
Received: Jan 04, 2024
Accepted: Dec 09, 2024
DOI: https://doi.org/10.2478/awutm-2024-0010
Keywords
© 2024 Bendehiba Senoussi, published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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 SL2ℝ˜ \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.

Language:
English
Publication timeframe:
Volume Open
Journal Subjects:
Mathematics, General Mathematics
Journal RSS Feed