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 Kırşehir Ahi Evran Üniversitesi, Türkiye
H. Hilmi Hacisalihoglu
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
Kabul Tarihi 12-04-2026 Yayınlanma Tarihi 15-06-2009
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
Atıf Sayıları
Google Scholar 61
Google Scholar 45
Scopus 2
Web of Science 34
Harmonic curvatures and generalized helices in E n

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