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

Authors: MURADİYE ÇİMDİKER, YASİN ÜNLÜTÜRK

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

Keywords: Euclidean 4-space, ED-frame field, variational curve

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