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In this article, first, we give the definition of normal curves in 4-dimensional Galilean space  G  4 . Second, we state the necessary condition for a curve of curvatures τ( s ) and σ( s ) to be a normal curve in 4-dimensional Galilean space  G  4 . Finally, we give some characterizations of normal curves with constant curvatures in  G  4 .

Normal Curves in 4-Dimensional Galilean Space G4