Abstract
In this work, first, we construct Frenet-Serret frame of a curve in the Galilean 4-space. As a result of this, we obtain the mentioned curve’s Frenet-Serret equations. Then, we prove that tangent vector of a curve in Galilean 4-space satisfies a vector differential equation of fourth order. Additionally, some characterizations of Galilean spherical curves and an example of the main results are presented. Key words: Galilean space, Frenet-Serret frame, spherical curves, vector differential equation.
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