Integrable Top Equations associated with Projective Geometry over Z_2

Details Integrable Top Equations associated with Projective Geometry over Z_2 Integrable Top Equations associated with Projective Geometry over Z_2

1998-05-07

arxiv.org/abs/math-ph/9805007v1

Physics

Mathematical Physics

8 pages, Latex

Scientific paper

10.1088/0305-4470/31/38/013

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.

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