Double quotients of Lie groups with integrable geodesic flow (Q1586991)
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scientific article; zbMATH DE number 1534480
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Double quotients of Lie groups with integrable geodesic flow |
scientific article; zbMATH DE number 1534480 |
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Double quotients of Lie groups with integrable geodesic flow (English)
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21 November 2000
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Double quotients of Lie groups are considered. Using the Thimm method, the author estimates the minimal number of independent integrals of a geodesic flow of double quotients of compact Lie groups with doubleside invariant metrics. The author also proves integrability of geodesic flows on 7- and 13-dimensional spaces of positive sectional curvature obtained by J.-H.~Eschenburg and Ya.~V.~Bazajkin.
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double quotients of Lie groups
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geodesic flow
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Thimm method
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