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arxiv: 1504.03032 · v2 · pith:INIGARCTnew · submitted 2015-04-12 · 🌊 nlin.SI

Euler equations on the general linear group, cubic curves, and inscribed hexagons

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keywords cubicequationseulerhexagonsinscribedalgebracurvecurves
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We study integrable Euler equations on the Lie algebra $\mathfrak{gl}(3,\mathbb{R})$ by interpreting them as evolutions on the space of hexagons inscribed in a real cubic curve.

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