바로가기메뉴

본문 바로가기 주메뉴 바로가기

logo

  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

ISSN : 1226-0657

Article Contents

Next
e-Submission

Vol.25 No.4

Citation Share

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

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

e-Submission OA Policy