dorsal/arxiv
View SchemaThe complex geometry of Lagrange top
| Authors | Lubomir Gavrilov, Angel Zhivkov |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9809012 |
| URL | https://arxiv.org/abs/solv-int/9809012 |
| Journal | L'Enseignement Mathematique, tome 44 (1998) p.133-170 |
Abstract
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.
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"abstract": "We prove that the heavy symmetric top (Lagrange, 1788) linearizes on a\ntwo-dimensional non-compact algebraic group -- the generalized Jacobian of an\nelliptic curve with two points identified. This leads to a transparent\ndescription of its complex and real invariant level sets. We also deduce, by\nmaking use of a Baker-Akhiezer function, simple explicit formulae for the\ngeneral solution of Lagrange top.",
"arxiv_id": "solv-int/9809012",
"authors": [
"Lubomir Gavrilov",
"Angel Zhivkov"
],
"categories": [
"solv-int",
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],
"journal_ref": "L\u0027Enseignement Mathematique, tome 44 (1998) p.133-170",
"title": "The complex geometry of Lagrange top",
"url": "https://arxiv.org/abs/solv-int/9809012"
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