On integrability and rigid-body systems (Q2853160)
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scientific article; zbMATH DE number 6217118
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On integrability and rigid-body systems |
scientific article; zbMATH DE number 6217118 |
Statements
18 October 2013
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Lax representation
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Hess-Appel'rot system
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Mumford relation
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Mumford-Dalalyan theory
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On integrability and rigid-body systems (English)
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On a basis of a Lax representation the algebro-geometric integration procedure for a higher-dimensional systems of rigid body motion is presented. The Hess-Appel'rot system is studied in details. This integration procedure is based on deep facts from the theory of Prym varieties such as the Mumford relation and the Mumford-Dalalyan theory.NEWLINENEWLINEFor the entire collection see [Zbl 1058.81003].
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