Characterizations of timelike slant helices in Minkowski 3 space
Yazarlar (5)
Ismail Gök Ankara Üniversitesi, Türkiye
Semra Kaya Nurkan
Usak University, Türkiye
Usak University, Türkiye
Kazim Ilarslan Kirikkale Üniversitesi, Türkiye
Prof. Dr. Levent KULA Kırşehir Ahi Evran Üniversitesi, Türkiye
Mesut Altinok Kırşehir Ahi Evran Üniversitesi, Türkiye
| Makale Türü | Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | Mathematical Communications | ||
| Dergi ISSN | 1331-0623 Wos Dergi Scopus Dergi | ||
| Dergi Tarandığı Indeksler | SCI-Expanded | ||
| Makale Dili | İngilizce | Basım Tarihi | 05-2014 |
| Cilt / Sayı / Sayfa | 19 / 1 / 119–138 | DOI | – |
| Özet |
| In this paper, we investigate the tangent indicatrix, the principal normal indicatrix and the binormal indicatrix of a timelike curve in Minkowski -space and we construct their Frenet equations and curvature functions. Moreover, we obtain some differential equations which characterize a timelike curve to be a slant helix by using the Frenet apparatus of a spherical indicatrix of the curve. Also, related examples and their illustrations are given. |
| Anahtar Kelimeler |
| General helix | Minkowski 3-space | Slant helix | Spherical helix | The binormal indicatrix | The principal normal indicatrix | The tangent indicatrix | Timelike curve |