Integrable Top Equations associated with Projective Geometry over Z_2
Mathematical Physics
2009-10-31 v1 High Energy Physics - Theory
math.MP
Exactly Solvable and Integrable Systems
solv-int
Abstract
We give a series of integrable top equations associated with the projective geometry over Z_2 as a (2^n-1)-dimensional generalisation of the 3D Euler top equations. The general solution of the (2^n-1)D top is shown to be given by an integration over a Riemann surface with genus (2^{n-1}-1)^2.
Keywords
Cite
@article{arxiv.math-ph/9805007,
title = {Integrable Top Equations associated with Projective Geometry over Z_2},
author = {David B. Fairlie and Tatsuya Ueno},
journal= {arXiv preprint arXiv:math-ph/9805007},
year = {2009}
}
Comments
8 pages, Latex