Averaging of Legendrian submanifolds of contact manifolds (Q2576745)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Averaging of Legendrian submanifolds of contact manifolds |
scientific article |
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Averaging of Legendrian submanifolds of contact manifolds (English)
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14 December 2005
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The author gives a procedure to `average' canonically \(C^1\)-close Legendrian submanifolds of contact manifolds. It is proved as a corollary that if a compact group action leaves a Legendrian submanifold almost invariant then there is an invariant Legendrian submanifold nearby.
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contact manifold
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invariant submanifold
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Legendrian submanifold
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