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Framed Clad Helices in Euclidean 3-Space       
Yazarlar
Doç. Dr. Mahmut MAK Doç. Dr. Mahmut MAK
Kırşehir Ahi Evran Üniversitesi, Türkiye
Özet
In this study, we introduce framed clad helices, which are a generalization of clad (i.e. C-slant or 2-slant) helices in Euclidean 3-space. They also include framed helices and framed slant helices. After, we give a characterization of the framed clad helices using the alternative adapted frame, which is more useful than the adapted frame of a framed curve. Moreover, we prove the existence of framed spherical images of any framed curve using alternative adapted frames. Additionally, we obtain interesting results regarding the relationship between a framed clad helix and its framed spherical images. Finally, we support the concept with some nice graphics.
Anahtar Kelimeler
clad helix | Darboux vector | Framed curve | helix | slant helix
Makale Türü Özgün Makale
Makale Alt Türü SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale
Dergi Adı FILOMAT
Dergi ISSN 0354-5180
Dergi Tarandığı Indeksler SCI-Expanded
Dergi Grubu Q3
Makale Dili İngilizce
Basım Tarihi 01-2023
Cilt No 37
Sayı 28
Sayfalar 9627 / 9640
Doi Numarası 10.2298/FIL2328627M
Makale Linki https://www.pmf.ni.ac.rs/filomat-content/2023/37-28/37-28-14-20999.pdf