Curves with constant curvature ratios

Details Curves with constant curvature ratios Curves with constant curvature ratios

2004-12-16

arxiv.org/abs/math/0412323v1

Mathematics

Differential Geometry

Scientific paper

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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