A characterization of ccr-curves in R-m


ÖZTÜRK G., ARSLAN K., HACISALİHOĞLU H. H.

PROCEEDINGS OF THE ESTONIAN ACADEMY OF SCIENCES, cilt.57, sa.4, ss.217-224, 2008 (SCI-Expanded) identifier identifier

Özet

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.