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Harmonic curvatures and generalized helices in E n      
Yazarlar (4)
Cetin Camci
Çanakkale Onsekiz Mart Üniversitesi, Türkiye
Kazim Ilarslan
Kirikkale Üniversitesi, Türkiye
Prof. Dr. Levent KULA Prof. Dr. Levent KULA
Kırşehir Ahi Evran Üniversitesi, Türkiye
H. Hilmi Hacisalihoglu
Ankara Üniversitesi, Türkiye
Devamını Göster
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 yayınlanan tam makale
Dergi Adı CHAOS SOLITONS & FRACTALS
Dergi ISSN 0960-0779 Wos Dergi Scopus Dergi
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