Kazım İLARSLAN

4569

Some Characterizations of Rectifying Curves in the Euclidean Space E4

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 E4 and characterize such curves in terms of their curvature functions.

Anahtar Kelimeler:

Rectifying curve, Frenet equations, curvature

Some Characterizations of Rectifying Curves in the Euclidean Space E4

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 E4 and characterize such curves in terms of their curvature functions.

Keywords:

Rectifying curve, Frenet equations, curvature,

Turkish Journal of Mathematics-Cover

ISSN: 1300-0098
Yayın Aralığı: 6
Yayıncı: TÜBİTAK

Arşiv

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Some characterizations of rectifying curves in the Euclidean space $E^4$

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