On the explicit characterization of curves on a n 1 sphere in S n
Yazarlar (4)
Canakkale Onsekiz Mart University, Türkiye
Prof. Dr. Levent KULA
Kırşehir Ahi Evran Üniversitesi, Türkiye
Kirikkale University, Türkiye
Bilecik Seyh Edebali University, Türkiye
| Makale Türü | Özgün Makale (Uluslararası alan indekslerindeki dergilerde yayınlanan tam makale) | ||
| Dergi Adı | INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY | ||
| Dergi ISSN | 1307-5624 Wos Dergi Scopus Dergi | ||
| Dergi Tarandığı Indeksler | MathSciNet | ||
| Makale Dili | İngilizce | Basım Tarihi | 10-2013 |
| Cilt / Sayı / Sayfa | 6 / 2 / 63–69 | DOI | – |
| Özet |
| In (n+1)-dimensional Euclidean space E-n+(1), harmonic curvatures and focal curvatures of a non-degenerate curve were defined by Ozdamar and Hacisalihoglu in [7] and by Uribe-Vargas in [9], respectively. In this paper, we investigate the relations between the harmonic curvatures of a non-degenerate curve and the focal curvatures of tangent indicatrix of the curve. Also we give the relationship between the Frenet apparatus (vectors and the curvature functions) of a curve alpha in E-n (+1) and the Frenet apparatus of tangent indicatrix alpha(T) of the curve alpha. In the main theorem of the paper, we give a characterization for a curve to be a (n-1)-spherical curve in S-n by using focal curvatures of the curve. Furtermore we give that harmonic curvature of the curve is focal curvature of the tangent indicatrix. |
| Anahtar Kelimeler |
| Harmonic curvature | focal curvature | spherical curve | generalized helix | tangent indicatrix |