2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/73602Curves 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.Differential Geometry53A04Curves with constant curvature ratiostext