Geodesic
On the curves with affine congruent arcs in affine space
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 16 (2019), pp. 1612-1622.

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It is proved in the article that the only curves with affine congruent arcs in the affine space are straight lines, parabolas, cubics.
Keywords: curve with affine congruent arcs, straight line, cubica, enica, moment curve, Veronese curve.
Mots-clés : parabola 
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I. V. Polikanova. On the curves with affine congruent arcs in affine space. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 16 (2019), pp. 1612-1622. http://geodesic.mathdoc.fr/item/SEMR_2019_16_a60/

[1] I.V. Polikanova, “On the curves with affine congruent arcs in $n$-dimencional affine space”, Collected articles of scientific conference “MAK-2015: Mathematicians for Altay Region” (Barnaul, 2015), 34–38

[2] I.V. Polikanova, “On flat curves with affine congruent arcs”, Siberian Electronic Mathematical Reports, 15 (2018), 882–889 | MR | Zbl

[3] I.V. Polikanova, “Some properties of curves with affine congruet arcs”, Proceedings of the Seminar on geometry and mathematical modeling, v. 2, Alt. un-ty Press, Barnaul, 2016, 55–61

[4] V.V. Konnov, “On differential-geometric characteristics of Veronese curves”, Math. Sb., 7:191 (2000), 73–88 | MR | Zbl

[5] I.V. Polikanova, “The definiteness of the enica by a finite set of points”, Collected articles of scientific conference “MAK: Mathematicians for Altay Region” (Barnaul, 2017), 37–40