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Integrable Top Equations associated with Projective Geometry over Z_2

David B. Fairlie·Tatsuya Ueno
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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.

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David B. Fairlie, Tatsuya Ueno. 1998-05-07. Integrable Top Equations associated with Projective Geometry over Z_2. https://doi.org/10.1088/0305-4470%2F31%2F38%2F013

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