6533b7d6fe1ef96bd1265c65
RESEARCH PRODUCT
Curves with constant curvature ratios
Juan Monterdesubject
Mathematics - Differential GeometryDifferential Geometry (math.DG)FOS: MathematicsMathematics::Metric GeometryMathematics::Differential GeometryMatemàtica53A04description
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2004-12-16 |