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A sufficient minimality condition for geodesics of the Hofer's metric - MaRDI portal

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A sufficient minimality condition for geodesics of the Hofer's metric (Q700309)

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scientific article; zbMATH DE number 1809875
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English
A sufficient minimality condition for geodesics of the Hofer's metric
scientific article; zbMATH DE number 1809875

    Statements

    A sufficient minimality condition for geodesics of the Hofer's metric (English)
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    24 November 2002
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    A new sufficient condition is given for the flow generated by a quasi-autonomous Hamiltonian to be a minimal geodesic flow on the group of Hamiltonian diffeomorphisms endowed with the Hofer's metric. It is then shown that this gives rise to the same distance as the one obtained by Viterbo's homological method.
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    Hamiltonian
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    minimal geodesic
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    metric
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    diffeomorphism
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