Constant Curvature Ratios in $L^6$

Abstract

In this paper, we find a relation between Frenet formulas and harmoniccurvatures, and also a relation between Frenet formulas and e-curvaturefunctions of a curve of osculating order 6 in 6 dimensional Lorentzian space $\mathbb{L}^{6}$. Moreover, we give a relation between harmonic curvaturesand ccr-curves of a curve in $\mathbb{L}^{6}$.