Integrable Top Equations associated with Projective Geometry over Z_2

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.

8 pages, Latex

References in corpus (1)

• Higher-dimensional Generalisations of the Euler Top Equations

Cited by in corpus (3)

• Calibrations, Monopoles and Fuzzy Funnels
• Remark on integrable deformations of the Euler top
• Hamiltonian formulation and integrability of a complex symmetric nonlinear system