Curves with constant curvature ratios

J. Monterde

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arXiv · math/0412323

Curves with constant curvature ratios

J. Monterde

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Abstract

Curves in ${\mathbb R}^n$ for which the ratios between two consecutive curvatures are constant are characterized by the fact that their tangent indicatrix is a geodesic in a flat torus. For $n= 3,4$, spherical curves of this kind are also studied and compared with intrinsic helices in the sphere.

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BibTeX RIS

J. Monterde. 2004-12-16. Curves with constant curvature ratios. https://arxiv.org/abs/math/0412323

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