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Framed Natural Mates of Framed Curves in Euclidean 3-Space       
Yazarlar
Yanlin Li
Doç. Dr. Mahmut MAK Doç. Dr. Mahmut MAK
Kırşehir Ahi Evran Üniversitesi, Türkiye
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
Makale Türü Özgün Makale
Makale Alt Türü SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale
Dergi Adı MATHEMATICS
Dergi ISSN 2227-7390
Dergi Tarandığı Indeksler SCI-Expanded
Dergi Grubu Q1
Makale Dili İngilizce
Basım Tarihi 08-2023
Cilt No 11
Sayı 16
Sayfalar 1 / 14
Doi Numarası 10.3390/math11163571
Makale Linki https://www.mdpi.com/2227-7390/11/16/3571