The complex geometry of Lagrange top

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dc.creatorGavrilov, Lubomir
dc.creatorZhivkov, Angel
dc.date1998-09-09
dc.date.accessioned2026-07-07T06:17:39Z
dc.date.available2026-07-07T06:17:39Z
dc.descriptionWe 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.
dc.descriptionLaTex, 26 pages
dc.identifierhttps://arxiv.org/abs/solv-int/9809012
dc.identifierhttp://arxiv.org/abs/solv-int/9809012
dc.identifierL'Enseignement Mathematique, tome 44 (1998) p.133-170
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/94458
dc.subjectExactly Solvable and Integrable Systems
dc.titleThe complex geometry of Lagrange top
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