A Characterization of Quintic Helices

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A polynomial curve of degree 5, $α$, is a helix, if and only if both $||α^'||$ and $||α^'\wedge α^{''}||$ are polynomial functions.

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Geometric Topology

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http://salesiana.dossiersoluciones.com/handle/123456789/74328

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0502546
 http://arxiv.org/abs/math/0502546

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arXiv