Hypersurfaces With a Common Geodesic Curve in 4D Euclidean space E4

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DOI: https://doi.org/10.28924/2291-8639-21-2023-68
Published: Jul 10, 2023
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Sahar H. Nazra, Hypersurfaces With a Common Geodesic Curve in 4D Euclidean space E4, Int. J. Anal. Appl., 21 (2023), 68.

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Sahar H. Nazra

Abstract

In this paper, we attain the problem of constructing hypersurfaces from a given geodesic curve in 4D Euclidean space E4. Using the Serret–Frenet frame of the given geodesic curve, we express the hypersurface as a linear combination of this frame and analyze the necessary and sufficient conditions for that curve to be geodesic. We illustrate this method by presenting some examples.

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References

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