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Some Characterizations Of Rectifying Curves In The Euclidean Space E^4, Kazim İlarslan, Emilija Nesovic
Some Characterizations Of Rectifying Curves In The Euclidean Space E^4, Kazim İlarslan, Emilija Nesovic
Turkish Journal of Mathematics
In this paper, we define a rectifying curve in the Euclidean 4-space as a curve whose position vector always lies in orthogonal complement N^{\perp} of its principal normal vector field N. In particular, we study the rectifying curves in E^4 and characterize such curves in terms of their curvature functions.