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Nonpositive curvature on the area-preserving diffeomorphism group - MaRDI portal

Nonpositive curvature on the area-preserving diffeomorphism group (Q556144)

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scientific article; zbMATH DE number 2175216
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English
Nonpositive curvature on the area-preserving diffeomorphism group
scientific article; zbMATH DE number 2175216

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    Nonpositive curvature on the area-preserving diffeomorphism group (English)
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    13 June 2005
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    The author gives a necessary and sufficient condition for a steady flow with analytic stream function and isolated zeroes to have nonpositive curvature operator. Elementary consequences of this result are then discussed in detail.
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    curvature
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    volume preserving
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    diffeomorphism group
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    Lagrangian
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    stability
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    fluid
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