The complete system of differential invariants of a curve in pseudo-euclidean space

Abstract

A complete system of differential invariants for equivalence of curves in the $n$-dimensional pseudo-euclidean space with respect to the action of each of the groups $K^n⊲O(n,p,K)$, $K^n⊲SO(n,p,K)$, $O(n,p,K)$, and $SO(n,p,K)$, where $K=\mathbf{R}$, or $K=\mathbf{C}$, and $O(n,p,K)$ $($respectively, $SO(n,p,K))$ are a pseudo-orthogonal (special pseudo-orthogonal) groups, is given.

13 pages