| Yazarlar |
Melek Demir
|
Dr. Öğr. Üyesi Mahmut MAK
Kırşehir Ahi Evran Üniversitesi, Türkiye |
| Özet |
| In this study, we consider some special mates of spherical Legendre curves by using Legendre frame along spherical front or frontal on Euclidean unit sphere. In this sense, we define orthogonal-type and parallel-type spherical Legendre mates. After, we get some characterizations between Legendre curvatures of orthogonal-type Legendre mates. In particularly, when spherical front is a regular curve, we give relationships between Legendre and Frenet frame or Legendre and Sabban frame. Moreover, we obtain that the evolute and the involute of spherical front correspond to a second and third orthogonal-type Legendre mate of spherical front, respectively. After, we give examples for first, second or third orthogonal-type spherical Legendre mates of some special spherical fronts or frontals. Finally, we show that there is no parallel-type Legendre mates of spherical frontal. |
| Anahtar Kelimeler |
| Legendre curve, frontal, front, Legendre mate, involute, evolute |
| Makale Türü | Özgün Makale |
| Makale Alt Türü | ESCI dergilerinde yayımlanan tam makale |
| Dergi Adı | PUNJAB UNIVERSITY JOURNAL OF MATHEMATICS |
| Dergi ISSN | 1016-2526 |
| Dergi Tarandığı Indeksler | ESCI |
| Makale Dili | İngilizce |
| Basım Tarihi | 01-2022 |
| Cilt No | 54 |
| Sayı | 5 |
| Sayfalar | 297 / 314 |
| Doi Numarası | 10.52280/pujm.2022.540502 |
| Makale Linki | http://pu.edu.pk/images/journal/maths/PDF/Paper_2_54_5_2022.pdf |
