AN APPROACH FOR HYPERSURFACE FAMILY WITH COMMON GEODESIC CURVE IN THE 4D GALILEAN SPACE G4

한국수학교육학회지시리즈B:순수및응용수학 / 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 (Department of Mathematics Education and RINS, Gyeongsang National University)
Yuzbasi, Zuhal Kucukarslan (Firat University, Faculty of Science, Department of Mathematics)

Yoon, Dae Won, & Yuzbasi, Zuhal Kucukarslan. (2018). AN APPROACH FOR HYPERSURFACE FAMILY WITH COMMON GEODESIC CURVE IN THE 4D GALILEAN SPACE G<sub>4</sub>. 한국수학교육학회지시리즈B:순수및응용수학, 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

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논문 상세

Vol.25 No.4

AN APPROACH FOR HYPERSURFACE FAMILY WITH COMMON GEODESIC CURVE IN THE 4D GALILEAN SPACE G<sub>4</sub>

AN APPROACH FOR HYPERSURFACE FAMILY WITH COMMON GEODESIC CURVE IN THE 4D GALILEAN SPACE G4

Abstract

한국수학교육학회지시리즈B:순수및응용수학