Yazarlar |
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 |