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Harmonic curvatures and generalized helices in E n    
Yazarlar
Cetin Camci
Kazim Ilarslan
Prof. Dr. Levent KULA 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