On Sandon-type metrics for contactomorphism groups (Q1616062)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On Sandon-type metrics for contactomorphism groups |
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On Sandon-type metrics for contactomorphism groups (English)
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31 October 2018
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Some contact manifolds admitting a 1-periodic Reeb flow are considered. A new construction of a stabby unbounded conjugation-invariant norm on the universal cover of the contactomorphism group is presented. It is proved that this norm induces a conjugation-invariant norm on the contactomorphism group. The problem of the boundedness of conjugation-invariant norms for contactomorphisms is studied.
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contactomorphism group
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contact manifold
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conjugation-invariant norm
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Hamiltonian displacement
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Liouville manifold
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