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: ,
Fulltext

–
0.19 Mb