Yazarlar |
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 |
Özet |
In this study, we introduce a 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. Then, 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 ac-slant 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 |
Makale Türü | Özgün Makale |
Makale Alt Türü | ESCI dergilerinde yayımlanan tam makale |
Dergi Adı | Asian-European Journal of Mathematics |
Dergi ISSN | 1793-5571 |
Makale Dili | İngilizce |
Basım Tarihi | 01-2024 |
Sayı | 1 |
Doi Numarası | 10.1142/S1793557124500967 |