Generalized Curvatures of Curves in ${\mathbb{R}}^n$

Lee-Peng Teo

For a curve ${\hat{\mathbf{I}}}^3:I\to {\mathbb{R}}^n$ of order $n-1$, we prove that the generalized curvatures $\hat{I}{º}_1,\dots ,\hat{I}{º}_{n-1}$ can be expressed in terms of the leading principal mi…