img
Slant helices that constructed from hyperspherical curves in the n-dimensional Euclidean space        
Yazarlar
Doç. Dr. Bülent ALTUNKAYA Doç. Dr. Bülent ALTUNKAYA
Kırşehir Ahi Evran Üniversitesi, Türkiye
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
Makale Türü Özgün Makale
Makale Alt Türü ESCI dergilerinde yayımlanan tam makale
Dergi Adı INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY
Dergi ISSN 1307-5624
Dergi Tarandığı Indeksler Emerging Sources Citation Index, Mathematical Reviews, Zentralblatt MATH
Makale Dili İngilizce
Basım Tarihi 10-2019
Cilt No 12
Sayı 2
Sayfalar 229 / 240
Doi Numarası 10.36890/IEJG.585408