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IMI/Publicaţii/BASM/Ediţii/BASM n.1(83), 2017/

A New Characterization of Curves in Euclidean 4-Space $\mathbb{E}^{4}$

Authors: Günay Öztürk, Selin Gürpınar, Kadri Arslan

Abstract

In the present study, we characterize a regular curve whose position vector can be written as a linear combination of its Serret-Frenet vectors in Euclidean $4$-space $\mathbb{E}^{4}$. We investigate such curves in terms of their curvature functions. Further, we obtain some results of $T$-constant, $N$-constant and constant ratio curves in $\mathbb{E}^{4}$.

Günay Öztürk
Kocaeli University,
Department of Mathematics,
Kocaeli, TURKEY.
E-mail:

Selin Gürpınar, Kadri Arslan
Uluda˘ g University,
Department of Mathematics,
Bursa, TURKEY.
E-mail: ,

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