Framed Natural Mates of Framed Curves in Euclidean 3-Space
Yazarlar (2)
Hangzhou Normal University, Çin
Doç. Dr. Mahmut MAK
Kırşehir Ahi Evran Üniversitesi, Türkiye
| Makale Türü |
Özgün Makale
(SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
|
||
| Dergi Adı | Mathematics (Q1) | ||
| Dergi ISSN | 2227-7390 Wos Dergi Scopus Dergi | ||
| Dergi Tarandığı Indeksler | SCI-Expanded | ||
| Makale Dili | İngilizce | Basım Tarihi | 08-2023 |
| Cilt / Sayı / Sayfa | 11 / 16 / 1–14 | DOI | 10.3390/math11163571 |
| Makale Linki | https://www.mdpi.com/2227-7390/11/16/3571 | ||
| Özet |
| In this study, we consider framed curves as regular or singular space curves with an adapted frame in Euclidean 3-space. We define framed natural mates of a framed curve that are tangent to the generalized principal normal of the framed curve. Subsequently, we present the relationships between a framed curve and its framed natural mates. In particular, we establish some necessary and sufficient conditions for the framed natural mates of specific framed curves, such as framed spherical curves, framed helices, framed slant helices, and framed rectifying curves. Finally, we support the concept with some examples. |
| Anahtar Kelimeler |
| framed curve | helix | rectifying curve | slant helix | spherical curve |
| Atıf Sayıları | |
| WoS | 19 |
| SCOPUS | 18 |
| Google Scholar | 19 |