Yazarlar |
Cetin Camci
|
Kazim Ilarslan
|
Prof. Dr. Levent KULA
Kırşehir Ahi Evran Üniversitesi, Türkiye |
H. Hilmi Hacisalihoglu
|
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 |
Makale Türü | Özgün Makale |
Makale Alt Türü | SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale |
Dergi Adı | CHAOS SOLITONS & FRACTALS |
Dergi ISSN | 0960-0779 |
Dergi Tarandığı Indeksler | SCI |
Makale Dili | İngilizce |
Basım Tarihi | 06-2009 |
Cilt No | 40 |
Sayı | 5 |
Sayfalar | 2590 / 2596 |
Doi Numarası | 10.1016/j.chaos.2007.11.001 |