Some Special Legendre Mates of Spherical Legendre Curves
Yazarlar (2)
Kirsehir Ahi Evran University, Türkiye
Doç. Dr. Mahmut MAK
Kırşehir Ahi Evran Üniversitesi, Türkiye
| Makale Türü | Özgün Makale (ESCI dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | PUNJAB UNIVERSITY JOURNAL OF MATHEMATICS | ||
| Dergi ISSN | 1016-2526 Wos Dergi | ||
| Dergi Tarandığı Indeksler | ESCI | ||
| Makale Dili | İngilizce | Basım Tarihi | 01-2022 |
| Cilt / Sayı / Sayfa | 54 / 5 / 297–314 | DOI | 10.52280/pujm.2022.540502 |
| Makale Linki | http://pu.edu.pk/images/journal/maths/PDF/Paper_2_54_5_2022.pdf | ||
| 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 |
| Atıf Sayıları | |
| WoS | 2 |
| Google Scholar | 2 |