The complex geometry of Lagrange top

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We prove that the heavy symmetric top (Lagrange, 1788) linearizes on a two-dimensional non-compact algebraic group -- the generalized Jacobian of an elliptic curve with two points identified. This leads to a transparent description of its complex and real invariant level sets. We also deduce, by making use of a Baker-Akhiezer function, simple explicit formulae for the general solution of Lagrange top.
LaTex, 26 pages

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Exactly Solvable and Integrable Systems

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http://salesiana.dossiersoluciones.com/handle/123456789/94458

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/solv-int/9809012
 http://arxiv.org/abs/solv-int/9809012
 L'Enseignement Mathematique, tome 44 (1998) p.133-170

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