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  • P-ISSN3059-0604
  • E-ISSN3059-1309
  • KCI

ISSN : 3059-0604

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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

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: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
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>, 25(4), 229-241, https://doi.org/10.7468/jksmeb.2018.25.4.229

Abstract

In the present study, we derive the problem of constructing a hypersurface family from a given isogeodesic curve in the 4D Galilean space $G_4$. We obtain the hypersurface as a linear combination of the Frenet frame in $G_4$ 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

한국수학교육학회지시리즈B:순수및응용수학

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