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Please use this identifier to cite or link to this item: http://hdl.handle.net/11452/25382
Title: A characterization of ccr-curves in R-m
Authors: Öztürk, Günay
Hacısalihoğlu, Hasan Hilmi
Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü.
0000-0002-1440-7050
Arslan, Kadri
AAG-8775-2021
6603079141
Keywords: Science & technology - other topics
Ccr-curve
Curves of finite type
Differential geometry
Frenet curve
W-curve
Issue Date: 2008
Publisher: Estonian Acad
Citation: Öztürk, G. vd. (2008). A characterization of ccr-curves in R-m". Proceedings of the Estonian Academy of Sciences, 57(4), 217-224.
Abstract: We study the curve in R-m for which the ratios between two consecutive curvatures are constant (ccr-curves). We show that closed ccr-curves in Euclidean space R-m are of finite type. We also consider Frenet curves with constant harmonic curvatures and show that an immersed curve in R2n+1 with constant harmonic curvatures H-t at point gamma(s(0)) has a Darboux vertex at that point.
URI: https://doi.org/10.3176/proc.2008.4.03
http://hdl.handle.net/11452/25382
ISSN: 1736-6046
Appears in Collections:Scopus
Web of Science

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