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

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

2012-04-18

arxiv.org/abs/1204.4049v1

Mathematics

Differential Geometry

13 pages

Scientific paper

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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