Parametric Representation of a Hypersurface Family With a Common Spatial Geodesic
| Autor: | Bayram, Ergin, Kasap, Emin |
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| Rok vydání: | 2013 |
| Předmět: | |
| Zdroj: | Scientific Studies and Research Series Mathematics and Informatics Vol. 24(2014), No. 2, 5-24 |
| Druh dokumentu: | Working Paper |
| Popis: | In this paper, we study the problem of finding a hypersurface family from a given spatial geodesic curve in R4. We obtain the parametric representation for a hypersurface family whose members have the same curve as a given geodesic curve. Using the Frenet frame of the given geodesic curve, we present the hypersurface as a linear combination of this frame and analyse the necessary and sufficient condition for that curve to be geodesic. We illustrate this method by presenting some examples. Comment: 17 pages, 3 figures |
| Databáze: | arXiv |
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