Geometry and integrability of Euler-Poincaré-Suslov equations (Q2758125)
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scientific article; zbMATH DE number 1679440
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Geometry and integrability of Euler-Poincaré-Suslov equations |
scientific article; zbMATH DE number 1679440 |
Statements
Geometry and integrability of Euler-Poincaré-Suslov equations (English)
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6 December 2001
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non-holonomic geodesic flows of left-invariant metrics
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left-invariant non-integrable distributions
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compact Lie groups
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This paper is devoted to the geometry and integrability of non-holonomic geodesic flows of left-invariant metrics and left-invariant non-integrable distributions on compact Lie groups. The equations of geodesic flows are reduced to the Euler-Poincaré-Suslov equations on the corresponding Lie algebras. Moreover the author gives examples of non-holonomic geodesic flows that can be seen as a restriction of integrable sub-Riemannian geodesic flows.
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