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

Source: [The complete system of differential invariants of a curve in pseudo-euclidean space](<https://www.sota2.com/research/paper/68fa4fab1e209131ce964d72>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-25T10:24:42.478Z

Authors: V. I. Chilin, K. K. Muminov

Published: 2012-04-18T11:22:47.000Z

## 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 $K^n \\lhd O(n,p,K)$, $K^n \\lhd SO(n,p,K)$, $O(n,p,K)$, 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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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1204.4049>)

[PDF](<https://arxiv.org/pdf/1204.4049.pdf>)