Title of article :
Curves with Constant Curvature Ratios in L^5
Author/Authors :
Iyigün, Esen Uludag University - Faculty of Arts and Science - Department of Mathematics, Turkiye
Abstract :
In this study, we first give a relation between Frenet formulas and harmonic curvatures of a curve of osculating order 5 in L5. Also, we find a relation between harmonic curvatures and ccr-curves of a curve in L5and also obtain some results. Finally, we calculate constant curvature ratios ε1 k2/k1, ε2 k3/k2, ε3 k4/k3 of the unit speed time-like curve in L^5 studied in [3].
Keywords :
Frenet curve of osculating order 5 , Frenet curvatures, a general helix of rank 3 , Ccr , curves , Harmonic curvatures
Journal title :
Selcuk Journal of Applied Mathematics
Journal title :
Selcuk Journal of Applied Mathematics
