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ISSN : 1226-0657

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Vol.25 No.4
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AN APPROACH FOR HYPERSURFACE FAMILY WITH COMMON GEODESIC CURVE IN THE 4D GALILEAN SPACE G4

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2018, v.25 no.4, pp.229-241
https://doi.org/10.7468/jksmeb.2018.25.4.229
Yoon, Dae Won
Yuzbasi, Zuhal Kucukarslan
Yoon,, D. W. , & Yuzbasi,, Z. K. (2018). AN APPROACH FOR HYPERSURFACE FAMILY WITH COMMON GEODESIC CURVE IN THE 4D GALILEAN SPACE G4. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 25(4), 229-241, https://doi.org/10.7468/jksmeb.2018.25.4.229
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Abstract

In the present study, we derive the problem of constructing a hypersurface family from a given isogeodesic curve in the 4D Galilean space <TEX>$G_4$</TEX>. We obtain the hypersurface as a linear combination of the Frenet frame in <TEX>$G_4$</TEX> and examine the necessary and sufficient conditions for the curve as a geodesic curve. Finally, some examples related to our method are given for the sake of clarity.

keywords
Galilean space, hypersurface, geodesic

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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