| Yazarlar |
Dr. Öğr. Üyesi Mahmut MAK
Kırşehir Ahi Evran Üniversitesi, Türkiye |
| 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 |
| helix,conjugate mate,slant helix,rectifying curve,spherical curve,Natural mate,Salkowski curve,anti-Salkowski curve |
| Makale Türü | Özgün Makale |
| Makale Alt Türü | ESCI dergilerinde yayımlanan tam makale |
| Dergi Adı | Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics |
| Dergi ISSN | 1303-5991 |
| Dergi Tarandığı Indeksler | ESCI |
| Makale Dili | İngilizce |
| Basım Tarihi | 06-2021 |
| Cilt No | 70 |
| Sayı | 1 |
| Sayfalar | 522 / 540 |
| Doi Numarası | 10.31801/cfsuasmas.785489 |
| Makale Linki | http://dx.doi.org/10.31801/cfsuasmas.785489 |
| Atıf Sayıları | |
| WoS | 3 |
| TRDizin | 1 |
| Google Scholar | 8 |
