Geodesics in the compactly supported Hamiltonian diffeomorphism group (Q1909548)
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scientific article; zbMATH DE number 856565
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Geodesics in the compactly supported Hamiltonian diffeomorphism group |
scientific article; zbMATH DE number 856565 |
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Geodesics in the compactly supported Hamiltonian diffeomorphism group (English)
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17 March 1996
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In this paper, geodesics in the group \({\mathcal D}\) of compactly supported Hamiltonian diffeomorphisms under Hofer's metric \(d\) are studied. We construct a family of geodesics with constant speeds in \(({\mathcal D},d)\) generated by time-dependent Hamiltonian functions.
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Hamiltonian diffeomorphism group
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Hofer's metric
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time dependent Hamiltonians
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geodesics
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