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Non-existence of rational arc length parameterizations for curves in $\Bbb R^n$. (English) Zbl 1166.53002
Summary: We show, as a generalization of prior results for $\Bbb R^2$ and $\Bbb R^3$, that for all $n\geq 2$ the only curves in $\Bbb R^n$ with rational arc length parameterizations are straight lines.

##### MSC:
 53A04 Curves in Euclidean space
Full Text:
##### References:
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