A characterization of ccr-curves in R-m
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Date
2008
Authors
Öztürk, Günay
Hacısalihoğlu, Hasan Hilmi
Journal Title
Journal ISSN
Volume Title
Publisher
Estonian Acad
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.
Description
Keywords
Science & technology - other topics, Ccr-curve, Curves of finite type, Differential geometry, Frenet curve, W-curve
Citation
Öztürk, G. vd. (2008). A characterization of ccr-curves in R-m". Proceedings of the Estonian Academy of Sciences, 57(4), 217-224.