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

Authors : Muradiye Çimdiker, Yasin Ünlütürk

Pages : 1442-1452

Doi:10.3906/mat-1906-52

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Publication Date : 9999-12-31

Article Type : Makaleler

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