Hypersurface families with Smarandache curves in Galilean 4-space

Abstract

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.

Keywords

• Smarandache curve
• hypersurface family
• geodesic curve

References

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