A Study Of The Evolution Of Space Curves With Modified Orthogonal Frame In Euclidean 3-Space

Abstract

In this study, we investigate the evolution of a moving space curve with a modified orthogonal frame. Firstly, the relations between the Frenet frame and the modified orthogonal frame is given. Later, the time evolution equation and curvatures of a moving space curve according to the modified orthogonal frame are obtained. Finally, some theorems and results are given according to the special cases of the evolution of the moving space curve.