Natural and conjugate mates of Frenet curves in three-dimensional Lie group
Yazarlar (1)
Doç. Dr. Mahmut MAK
Kırşehir Ahi Evran Üniversitesi, Türkiye
| Makale Türü |
Özgün Makale
(ESCI dergilerinde yayınlanan tam makale)
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| Dergi Adı | Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics | ||
| Dergi ISSN | 1303-5991 Wos Dergi | ||
| Dergi Tarandığı Indeksler | ESCI | ||
| Makale Dili | İngilizce | Basım Tarihi | 01-2021 |
| Cilt / Sayı / Sayfa | 70 / 1 / 522–540 | DOI | 10.31801/cfsuasmas.785489 |
| Makale Linki | http://dx.doi.org/10.31801/cfsuasmas.785489 | ||
| Özet |
| In this study, we introduce the natural mate and conjugate mate of a Frenet curve in a three dimensional Lie group $ mathbb{G} $ with bi-invariant metric. Also, we give some relationships between a Frenet curve and its natural mate or its conjugate mate in $ mathbb{G} $. Especially, we obtain some results for the natural mate and the conjugate mate of a Frenet curve in $ mathbb{G} $ when the Frenet curve is a general helix, a slant helix, a spherical curve, a rectifying curve, a Salkowski (constant curvature and non-constant torsion), anti-Salkowski (non-constant curvature and constant torsion), Bertrand curve. Finally, we give nice graphics with numeric solution in Euclidean 3-space as a commutative Lie group. |
| Anahtar Kelimeler |
| Natural mate | conjugate mate | helix | slant helix | spherical curve | rectifying curve | Salkowski curve | anti-Salkowski curve |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| WoS | 7 |
| TRDizin | 1 |
| Google Scholar | 12 |