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arxiv: 1204.4049 · v1 · pith:UGPVQ5C4new · submitted 2012-04-18 · 🧮 math.DG

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

classification 🧮 math.DG
keywords completedifferentialgroupsinvariantsmathbfpseudo-euclideanpseudo-orthogonalspace
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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 $K^n \lhd O(n,p,K)$, $K^n \lhd SO(n,p,K)$, $O(n,p,K)$, and $SO(n,p,K)$, where $K = \mathbf{R}$, or $K = \mathbf{C}$, and $O(n,p,K)$ $\bigl($respectively, $SO(n,p,K)\big)$ are a pseudo-orthogonal (special pseudo-orthogonal) groups, is given.

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