Harmonic curvatures and generalized helices in E n
Yazarlar (4)
Çetin Camci Çanakkale Onsekiz Mart Üniversitesi, Türkiye
Kazim Ilarslan Kirikkale Üniversitesi, Türkiye
Prof. Dr. Levent KULA Kırşehir Ahi Evran Üniversitesi, Türkiye
H. Hilmi Hacisalihoǧlu
Ankara Üniversitesi, Türkiye
Ankara Üniversitesi, Türkiye
| Makale Türü | Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | Chaos Solitons and Fractals | ||
| Dergi ISSN | 0960-0779 Wos Dergi Scopus Dergi | ||
| Dergi Tarandığı Indeksler | SCI | ||
| Makale Dili | İngilizce | Basım Tarihi | 01-2009 |
| Cilt / Sayı / Sayfa | 40 / 5 / 2590–2596 | DOI | 10.1016/j.chaos.2007.11.001 |
| Makale Linki | https://linkinghub.elsevier.com/retrieve/pii/S0960077907009393 | ||
| Özet |
| In n-dimensional Euclidean space En, harmonic curvatures of a non-degenerate curve defined by Özdamar and Hacisalihoğlu [Özdamar E, Hacısalihoglu HH. A characterization of Inclined curves in Euclidean n-space. Comm Fac Sci Univ Ankara, Ser A1 1975;24:15–23]. In this paper, we give some characterizations for a non-degenerate curve α to be a generalized helix by using its harmonic curvatures. Also we define the generalized Darboux vector D of a non-degenerate curve α in n-dimensional Euclidean space En and we show that the generalized Darboux vector D lies in the kernel of Frenet matrix M(s) if and only if the curve α is a generalized helix in the sense of Hayden. |
| Anahtar Kelimeler |
Science Direct
Harmonic curvatures and generalized helices in E n
| Atıf Sayıları | |
| Google Scholar | 61 |
| Scopus | 34 |
| Web of Science | 34 |