Hypersurface families with Smarandache curves in Galilean 4-space

In this paper, we study the hypersurface families with Smarandache curves in 4-dimensional Galilean space G4 and give the conditions for different Smarandache curves to be parameter and the curve which generates the Smarandache curves is geodesic on a hypersurface in G4. Also, we investigate three types of marching-scale functions for one of these hypersurfaces and construct an example for it.

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