Geometry of Curves in ${\mathbb{R}}^n$, Singular Value Decomposition, and Hankel Determinants

Xavier Álvarez-Vizoso, Robert Arn, Bruce Draper +2

Let $\gamma :I\to {\mathbb{R}}^n$ be a parametric curve of class $C^{n+1}$, regular of order $n$. The Frenet-Serret apparatus of $\gamma$ at $\gamma (t)$ consists of a frame $e_1(t), \dots ,…