An Approach for Hypersurface Family with Common Geodesic Curve in the 4D Galilean Space G4

Zühal Küçükarslan Yüzbaşı; Dae Won Yoon

doi:10.7468/jksmeb.2018.25.4.229

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arXiv · 1612.01358

An Approach for Hypersurface Family with Common Geodesic Curve in the 4D Galilean Space G4

Zühal Küçükarslan Yüzbaşı·Dae Won Yoon

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Abstract

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.

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Zühal Küçükarslan Yüzbaşı, Dae Won Yoon. 2016-11-25. An Approach for Hypersurface Family with Common Geodesic Curve in the 4D Galilean Space G4. https://doi.org/10.7468/jksmeb.2018.25.4.229

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