A topological classification of integrable geodesic flows on the two- dimensional sphere with an additional integral quadratic in the momenta (Q1322778)
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scientific article; zbMATH DE number 563606
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A topological classification of integrable geodesic flows on the two- dimensional sphere with an additional integral quadratic in the momenta |
scientific article; zbMATH DE number 563606 |
Statements
A topological classification of integrable geodesic flows on the two- dimensional sphere with an additional integral quadratic in the momenta (English)
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30 May 1994
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A topological classification is given up to topological equivalence of Liouville foliations of all Riemannian metrics on a 2-sphere, having integrable geodesic flows with an additional integral quadratic in the momenta. The classification is computable and the formula for calculating the complexity of the flow is straightforward.
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topological classification
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topological equivalence
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Liouville foliations
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Riemannian metrics
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2-sphere
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geodesic flows
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