Hypersurface families with Smarandache curves in Galilean 4-space

Year 2021, Volume: 70 Issue: 2, 744 - 761, 31.12.2021

Mustafa Altın , Ahmet Kazan , Hacı Bayram Karadağ

https://doi.org/10.31801/cfsuasmas.794779

Cited By: 10

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

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