Ac-slant curves in Euclidean 3-space
Yazarlar (3)
Doç. Dr. Mahmut MAK
Kırşehir Ahi Evran Üniversitesi, Türkiye
Dr. Öğr. Üyesi Hasan ALTINBAŞ
Kırşehir Ahi Evran Üniversitesi, Türkiye
Prof. Dr. Levent KULA
Kırşehir Ahi Evran Üniversitesi, Türkiye
| Makale Türü | Özgün Makale (ESCI dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | Asian European Journal of Mathematics | ||
| Dergi ISSN | 1793-5571 Wos Dergi Scopus Dergi | ||
| Dergi Tarandığı Indeksler | ESCI | ||
| Makale Dili | Türkçe | Basım Tarihi | 02-2025 |
| Cilt / Sayı / Sayfa | 18 / 1 / 1–17 | DOI | 10.1142/S1793557124500967 |
| Makale Linki | https://doi.org/10.1142/s1793557124500967 | ||
| Özet |
| In this study, we introduce new type of space curve which is called ac-slant curve whose inner product of its acceleration vector and a fixed direction is a constant. After, we give a characterization according to the curvatures of ac-slant curve. Later on, we obtain relationship between an ac-slant curve and some special curves (spherical curve, helix, slant helix, Salkowski curve, rectifying curve). Similarly to concept of ac-slant curves, we consider normalized ac-slant curve which has a unit acceleration vector and give a characterization with respect to its curvatures. Especially, we give some results for acslant or normalized ac-slant curves with respect to the magnitude of its velocity and acceleration vector. |
| Anahtar Kelimeler |
| ac-slant curve | Acceleration | helix | jerk | rectifying curve | slant helix |