Characterization of the Natural Lift According to the Curve

Abstract

In this article we have characterized the natural lift curve of a curve in IR 3 according to its torsion and curvature. The natural lift curve of a timelike curve in IR l is characterized by the torsion and curvature of the natural lift curve, taking into account whether it is a spacelike curve with a timelike binormal or a spacelike curve with a space binormal. The natural lift curve of a spacelike curve with a timelike binormal in IR . 3 is characterized according to the torsion and curvature of the natural lift curve, considering that the natural lift curve is a spacelike curve with a timelike binormal or a spacelike curve with a space binormal.