Euler equations on the general linear group, cubic curves, and inscribed hexagons
Abstract
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- April 2015
- DOI:
- arXiv:
- arXiv:1504.03032
- Bibcode:
- 2015arXiv150403032A
- Keywords:
-
- Nonlinear Sciences - Exactly Solvable and Integrable Systems
- E-Print:
- Final version accepted to Ens. Math., 21 pages, 5 figures