Turkish Journal of Mathematics
DOI
-
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.
Keywords
Rectifying curve, Frenet equations, curvature
First Page
21
Last Page
30
Recommended Citation
İLARSLAN, KAZIM and NESOVIC, EMILIJA (2008) "Some Characterizations of Rectifying Curves in the Euclidean Space E^4," Turkish Journal of Mathematics: Vol. 32: No. 1, Article 3. Available at: https://journals.tubitak.gov.tr/math/vol32/iss1/3
