Controllability on principal fibre bundles with compact structure group (Q1057218)
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scientific article; zbMATH DE number 3896745
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Controllability on principal fibre bundles with compact structure group |
scientific article; zbMATH DE number 3896745 |
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Controllability on principal fibre bundles with compact structure group (English)
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1984
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Let D be a family of vector fields defined on a principal fibre bundle, invariant under the action of the structure group, which projects down on a family D' of vector fields on the base space. Under suitable assumptions, it is proved that D is controllable iff D' is controllable. Several examples are given.
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fibre bundle
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structure group
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