SOME CHARACTERIZATIONS OF CURVES IN GALILEAN 3-SPACE $\mathbb{G}_{3}$

Abstract

In this paper, we consider a unit speed curve in Galilean $3$-space $\mathbb{%G}_{3}$ as a curve whose position vector can be written as linearcombination of its Serret-Frenet vectors. We show that there is no $T$%-constant curve in Galilean $3$-space $\mathbb{G}_{3}$, and we obtain someresults of $N$-constant type of curves in Galilean $3$-space $\mathbb{G}%_{3}. $