A characterization of ccr-curves in Rm

Proceedings of the Estonian Academy of Sciences

Günay Öztürk¹  Kadri Arslan¹  H. Hilmi Hacisalihoglu¹ 

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关键词: differential geometry;    Frenet curve;    W-curve;    curves of finite type;    ccr-curve;   

DOI  :  10.3176/proc.2008.4.03

学科分类：化学（综合）

来源: Teaduste Akadeemia Kirjastus

【 摘 要 】

We study the curve in Rm  for which the ratios between two consecutive curvatures are constant (ccr-curves). We show that closed ccr-curves in Euclidean space Rm  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 Hi at point γ (s0)   has a Darboux vertex at that point.

【 授权许可】

Unknown