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arXiv · 1408.6386

Hypersurface family with a common isoasymptotic curve

Ergin Bayram·Emin Kasap
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Abstract

In the present paper, we handle the problem of finding a hypersurface family from a given asymptotic curve in 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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Ergin Bayram, Emin Kasap. 2014-08-27. Hypersurface family with a common isoasymptotic curve. https://doi.org/10.1155/2014%2F623408

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