Integrable Top Equations associated with Projective Geometry over Z2
David B. Fairlie, Tatsuya Ueno
Abstract
We give a series of integrable top equations associated with the projective geometry over Z2 as a (2n-1)-dimensional generalisation of the 3D Euler top equations. The general solution of the (2n-1)D top is shown to be given by an integration over a Riemann surface with genus (2n-1-1)2.
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