Ruled surface pair generated by a curve and its natural lift in R^3

Abstract

In this study, firstly, the Frenet vector fields T, N ,B of the naturallift bar{alpha} of a curve alpha are calculated in terms of those of alpha in R^3. Secondly, we obtained striction lines and distribution parameters of ruled surface pairgenerated by the curve alpha and its natural lift bar{alpha}. Finally, for alpha and bar{alpha} thosenotions are compared with each other.