Slant Helices that Constructed from Hyperspherical Curves in the n-dimensional Euclidean Space
       
Yazarlar (1)
Prof. Dr. Bülent ALTUNKAYA Kırşehir Ahi Evran Üniversitesi, Türkiye
Makale Türü Açık Erişim Özgün Makale (ESCI dergilerinde yayınlanan tam makale)
Dergi Adı International Electronic Journal of Geometry
Dergi ISSN 1307-5624 Wos Dergi Scopus Dergi
Dergi Tarandığı Indeksler ESCI
Makale Dili İngilizce Basım Tarihi 10-2019
Cilt / Sayı / Sayfa 12 / 2 / 229–240 DOI 10.36890/IEJG.585408
Makale Linki https://doi.org/10.36890/iejg.585408
Özet
In this work, we study slant helices in the n-dimensional Euclidean space. We give methods todetermine the position vectors of slant helices from arclength parameterized curves that lie onthe unit hypersphere. By means of these methods, first we characterize slant helices and Salkowskicurves which lie on 2n-dimensional hyperboloid. After that, we characterize rectifying slant heliceswhich are geodesics of 2n-dimensional cone.
Anahtar Kelimeler
geodesic of a hypersurface | hyperspherical curve | rectifying curve | Salkowski curve | Slant helix