III-harmonic Curves in SL2ℝ˜\widetilde {{\rm{S}}{{\rm{L}}_2}\mathbb{R}} Space
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-ha...
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| Format: | Article |
| Language: | English |
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Sciendo
2024-01-01
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| Series: | Annals of the West University of Timisoara: Mathematics and Computer Science |
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| Online Access: | https://doi.org/10.2478/awutm-2024-0010 |
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| _version_ | 1846096704465534976 |
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| author | Senoussi Bendehiba |
| author_facet | Senoussi Bendehiba |
| author_sort | Senoussi Bendehiba |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-79c56c4ba82849468e515fb6f49119b6 |
| institution | Kabale University |
| issn | 1841-3307 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | Sciendo |
| record_format | Article |
| series | Annals of the West University of Timisoara: Mathematics and Computer Science |
| spelling | doaj-art-79c56c4ba82849468e515fb6f49119b62025-01-02T06:04:30ZengSciendoAnnals of the West University of Timisoara: Mathematics and Computer Science1841-33072024-01-0160110.2478/awutm-2024-0010III-harmonic Curves in SL2ℝ˜\widetilde {{\rm{S}}{{\rm{L}}_2}\mathbb{R}} SpaceSenoussi Bendehiba0Department of Mathematics, Higher Normal School of Mostaganem, Mostaganem, AlgeriaSome 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.https://doi.org/10.2478/awutm-2024-0010sl2ℝ˜\widetilde {{\rm{s}}{{\rm{l}}_2}\mathbb{r}} spaceiii-harmonic curvesbiharmonic curvesgeneral helix53c3053a4053b2558e20 |
| spellingShingle | Senoussi Bendehiba III-harmonic Curves in SL2ℝ˜\widetilde {{\rm{S}}{{\rm{L}}_2}\mathbb{R}} Space Annals of the West University of Timisoara: Mathematics and Computer Science sl2ℝ˜\widetilde {{\rm{s}}{{\rm{l}}_2}\mathbb{r}} space iii-harmonic curves biharmonic curves general helix 53c30 53a40 53b25 58e20 |
| title | III-harmonic Curves in SL2ℝ˜\widetilde {{\rm{S}}{{\rm{L}}_2}\mathbb{R}} Space |
| title_full | III-harmonic Curves in SL2ℝ˜\widetilde {{\rm{S}}{{\rm{L}}_2}\mathbb{R}} Space |
| title_fullStr | III-harmonic Curves in SL2ℝ˜\widetilde {{\rm{S}}{{\rm{L}}_2}\mathbb{R}} Space |
| title_full_unstemmed | III-harmonic Curves in SL2ℝ˜\widetilde {{\rm{S}}{{\rm{L}}_2}\mathbb{R}} Space |
| title_short | III-harmonic Curves in SL2ℝ˜\widetilde {{\rm{S}}{{\rm{L}}_2}\mathbb{R}} Space |
| title_sort | iii harmonic curves in sl2r widetilde rm s rm l 2 mathbb r space |
| topic | sl2ℝ˜\widetilde {{\rm{s}}{{\rm{l}}_2}\mathbb{r}} space iii-harmonic curves biharmonic curves general helix 53c30 53a40 53b25 58e20 |
| url | https://doi.org/10.2478/awutm-2024-0010 |
| work_keys_str_mv | AT senoussibendehiba iiiharmoniccurvesinsl2rwidetildermsrml2mathbbrspace |