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Ac-slant curves in Euclidean 3-space      
Yazarlar
Doç. Dr. Mahmut MAK Doç. Dr. Mahmut MAK
Kırşehir Ahi Evran Üniversitesi, Türkiye
Dr. Öğr. Üyesi Hasan ALTINBAŞ Dr. Öğr. Üyesi Hasan ALTINBAŞ
Kırşehir Ahi Evran Üniversitesi, Türkiye
Prof. Dr. Levent KULA Prof. Dr. Levent KULA
Kırşehir Ahi Evran Üniversitesi, Türkiye
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
Makale Türü Özgün Makale
Makale Alt Türü ESCI dergilerinde yayımlanan tam makale
Dergi Adı Asian-European Journal of Mathematics
Dergi ISSN 1793-5571
Dergi Tarandığı Indeksler ESCI
Makale Dili Türkçe
Basım Tarihi 12-2024
Sayı 1
Doi Numarası 10.1142/S1793557124500967
Makale Linki https://doi.org/10.1142/s1793557124500967