PROCEEDINGS OF THE ESTONIAN ACADEMY OF SCIENCES, vol.57, no.4, pp.217-224, 2008 (SCI-Expanded)
Article / Article
PROCEEDINGS OF THE ESTONIAN ACADEMY OF SCIENCES
Science Citation Index Expanded (SCI-EXPANDED), Scopus
differential geometry, Frenet curve, W-curve, curves of finite type, ccr-curve
Bursa Uludag University Affiliated:
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.