INTEGRABLE TOP EQUATIONS ASSOCIATED WITH PROJECTIVE GEOMETRY OVER Z(2)

Authors
FAIRLIE DB UENO T
Citation
Db. Fairlie et T. Ueno, INTEGRABLE TOP EQUATIONS ASSOCIATED WITH PROJECTIVE GEOMETRY OVER Z(2), Journal of physics. A, mathematical and general (Print), 31(38), 1998, pp. 7785-7790
Citations number
6
Categorie Soggetti
Physics,"Physycs, Mathematical
Journal title
Journal of physics. A, mathematical and general (Print) → ACNP
ISSN journal
03054470
Volume
31
Issue
38
Year of publication
1998
Pages
7785 - 7790
Database
ISI
SICI code
0305-4470(1998)31:38<7785:ITEAWP>2.0.ZU;2-Z
Abstract
We give a series of integrable top equations associated with the proje ctive geometry over Z(2) as a (2(n) - 1)-dimensional generalization of the three-dimensional Euler top equations. The general solution of th e (2(n) - I)-dimensional top is shown to be given by an integration ov er a Riemann surface with genus (2(n-1) - 1)(2).