On the variational curves due to the ED-frame field in Euclidean 4-space

Abstract

In this study, we define a variational field for constructing a family of Frenet curves of the length l lying on aconnected oriented hypersurface and calculate the length of the variational curves due to the ED-frame field in Euclidean4-space. And then, we derive the intrinsic equations for the variational curves and also obtain boundary conditions forthis type of curves due to the ED-frame field in Euclidean 4-space.