Abstract

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.

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Keywords

Rectifying curve, Frenet equations, curvature

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Recommended Citation

İLARSLAN, K, & NESOVIC, E (2008). Some Characterizations of Rectifying Curves in the Euclidean Space E^4. Turkish Journal of Mathematics 32 (1): 21-30. https://doi.org/-

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