Geodesic flow on \(\text{SO}(4)\), Kac-Moody Lie algebra and singularities in the complex \(t\)-plane (Q1301340)
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scientific article; zbMATH DE number 1331816
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Geodesic flow on \(\text{SO}(4)\), Kac-Moody Lie algebra and singularities in the complex \(t\)-plane |
scientific article; zbMATH DE number 1331816 |
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Geodesic flow on \(\text{SO}(4)\), Kac-Moody Lie algebra and singularities in the complex \(t\)-plane (English)
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18 September 2001
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The author studies geometrically the Euler-Arnold equations associated to geodesic flow on \(\text{SO}(3)\) for a left-invariant diagonal metric. A Lie algebra theoretical approach based on the Konstant-Kirillov coadjoint action was given. By the asymptotic analysis, the author shows that the linearization of the Euler-Arnold equations occurs on a related Prym variety.
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Euler-Arnold equations
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geodesic flow
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coadjoint action
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