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http://dx.doi.org/10.7468/jksmeb.2018.25.4.229

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

Yoon, Dae Won (Department of Mathematics Education and RINS, Gyeongsang National University)
Yuzbasi, Zuhal Kucukarslan (Firat University, Faculty of Science, Department of Mathematics)
Publication Information
The Pure and Applied Mathematics / v.25, no.4, 2018 , pp. 229-241 More about this Journal
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;
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