Turkish Journal of Mathematics
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.
DOI
-
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
