Smarandache curves in the Galilean 4-space G4

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A characterization of curves in Galilean 4-space $G_4$

‎In the present study‎, ‎we consider a regular curve in Galilean‎ ‎$4$-space $mathbb{G}_{4}$ whose position vector is written as a‎ ‎linear combination of its Frenet vectors‎. ‎We characterize such‎ ‎curves in terms of their curvature functions‎. ‎Further‎, ‎we obtain‎ ‎some results of rectifying‎, ‎constant ratio‎, ‎$T$-constant and‎ ‎$N$-constant curves in $mathbb{G}_{4}$‎.

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ژورنال

عنوان ژورنال: Journal of the Egyptian Mathematical Society

سال: 2017

ISSN: 1110-256X

DOI: 10.1016/j.joems.2016.04.008