An Approach for Hypersurface Family with Common Geodesic Curve in the 4D   Galilean Space G4
  In the present study, we derive the problem of constructing a hypersurface family from a given isogeodesic curve in the 4D Galilean space $\mathbf{G}_{4}.$ We obtain the hypersurface as a linear combination of the Frenet frame in $\mathbf{G}_{4}$ 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. 
Z\"uhal K\"u\c{c}\"ukarslan Y\"uzba\c{s}{\i} and Dae Won Yoon
math.GM