Kazım İLARSLAN

4877

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

Sayıdaki Diğer Makaleler

Trace classes and fixed points for the extended modular group $overlineGamma$

Sebahattin İKİKARDEŞ, Recep ŞAHİN, Özden KORUOĞLU

A Note on a Problem of J. Galambos

Lu- ming SHEN, Yu-yuan ZHOU, Yue-hua LIU

Best p-Simultaneous Approximation in Some Metric Space

W. SHATANAWI, M. KHANDAGJI

On the regular elements in $Bbb{Z}_n$

Osama ALKAN, Emad ABU OSBA

On the regular elements in Zn

A Decomposition Method for Solving Unsteady Convection-Diffusion Problems

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

Kazım İLARSLAN, Emilija NESOVIC

Cover for Modules and Injective Modules

Mixed Type of Integral Equation with Potential Kernel

Mohamed Abdella Ahmed ABDOU, Gamal Mohamed ABD AL-KADER

Trace Classes and Fixed Points for the Extended Modular Group \overline{G}

Özden KORUOĞLU