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It is well known that a straight line and a circle, of a certain radius r, are both plane curves having constant curvature. The former with curvature zero and the latter with curvature \(\pm 1/r\) , the sign depending on the chosen orientation.

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Lancret Helices in \(\mathbb {R}^3\)

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  • 发表日期：

    2025年

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  • Angel Ferrandez Izquierdo

摘要

It is well known that a straight line and a circle, of a certain radius r, are both plane curves having constant curvature. The former with curvature zero and the latter with curvature \(\pm 1/r\) , the sign depending on the chosen orientation.