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Generalized Framed Helices in Euclidean 3-Space       
Yazarlar (1)
Doç. Dr. Mahmut MAK Doç. Dr. Mahmut MAK
Kırşehir Ahi Evran Üniversitesi, Türkiye
Devamını Göster
Özet
In this study, we introduce framed k-slant helices from the viewpoint of singularity theory in Euclidean 3-space. Framed k-slant helices are regular or singular curves in Euclidean 3-space. Particularly, the family of framed k-slant helices encompasses a comprehensive set of curves, including framed helices, framed slant helices, and framed clad helices in the category of framed curves, as well as helices, slant helices, regular clad helices, and g-clad curves. We construct successive alternative adapted frames to define the framed k-slant helix and express its axis. We obtain a characterization of the framed (k+1)-slant helix in terms of the k-alternative adapted frame. Moreover, we discover interesting relationships between the framed k-slant helix and its generalized spherical images with respect to the adapted frame. Finally, we display appealing visualizations of the framed helix, framed slant helix, and framed clad helix as regular or smooth curves with singular points.
Anahtar Kelimeler
clad helix | framed curve | helix | k-slant helix | singularity | slant helix
Makale Türü Özgün Makale
Makale Alt Türü ESCI dergilerinde yayımlanan tam makale
Dergi Adı Advanced Studies: Euro-Tbilisi Mathematical Journal
Dergi ISSN 2667-9930
Dergi Tarandığı Indeksler ESCI
Makale Dili İngilizce
Basım Tarihi 10-2023
Cilt No 16
Sayı 3
Sayfalar 59 / 76
Doi Numarası 10.32513/asetmj/1932200823305
Makale Linki https://tcms.org.ge/Journals/ASETMJ/publications/supplement-issue-3-vol-16-2023/
BM Sürdürülebilir Kalkınma Amaçları
Atıf Sayıları
Generalized Framed Helices in Euclidean 3-Space

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