Harmonic curvatures and generalized helices in E n
Yazarlar (4)
Çanakkale Onsekiz Mart Üniversitesi, Türkiye
Kirikkale Üniversitesi, Türkiye
Prof. Dr. Levent KULA
Kırşehir Ahi Evran 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 | 06-2009 |
| Cilt / Sayı / Sayfa | 40 / 5 / 2590–2596 | DOI | 10.1016/j.chaos.2007.11.001 |
| Özet |
| In n-dimensional Euclidean space E-n, harmonic curvatures of a non-degenerate curve defined by Ozdamar and Haci-salihoglu [Ozdamar E, Hacisalihoglu HH. A characterization of Inclined curves in Euclidean n-space. Comm Fac Sci Univ Ankara, Ser A 1 1975;24:15-23]. In this paper, we give some characterizations for a non-degenerate curve alpha to be a generalized helix by using its harmonic curvatures. Also we define the generalized Darboux vector D of a non-degenerate curve alpha in n-dimensional Euclidean space E-n and we show that the generalized Darboux vector D lies in the kernel of Frenet matrix M(s) if and only if the curve a is a generalized helix in the sense of Hayden. (C) 2007 Elsevier Ltd. All rights reserved. |
| Anahtar Kelimeler |
Science Direct
Harmonic curvatures and generalized helices in E n
| Atıf Sayıları | |
| WoS | 33 |
| SCOPUS | 34 |
| Google Scholar | 96 |