Hypersurface family with a common isoasymptotic curve (Q327260)
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scientific article; zbMATH DE number 6640687
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Hypersurface family with a common isoasymptotic curve |
scientific article; zbMATH DE number 6640687 |
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Hypersurface family with a common isoasymptotic curve (English)
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19 October 2016
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Summary: We handle the problem of finding a hypersurface family from a given asymptotic curve in \(\mathbb R^4\). Using the Frenet frame of the given asymptotic curve, we express the hypersurface as a linear combination of this frame and analyze the necessary and sufficient conditions for that curve to be asymptotic. We illustrate this method by presenting some examples.
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