An Approach for Hypersurface Family with Common Geodesic Curve in the 4D Galilean Space G4
Abstract
In the present study, we derive the problem of constructing a hypersurface family from a given isogeodesic curve in the 4D Galilean space G4. We obtain the hypersurface as a linear combination of the Frenet frame in G4 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.
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