Geodesics of Hofer's metric on the space of Lagrangian submanifolds (Q2457906)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Geodesics of Hofer's metric on the space of Lagrangian submanifolds |
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Geodesics of Hofer's metric on the space of Lagrangian submanifolds (English)
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23 October 2007
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The geodesics of Hofer's metric on the space of Lagrangian submanifolds in arbitrary symplectic manifolds are studied from the variational point of view, and a characterization of length-critical paths w.r.t. this metric is provided. In particular, it is shown that if two Lagrangian submanifolds are disjoint, then they cannot be joined by length-minimizing geodesics.
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geodesics
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Hofer geometry
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Lagrangian submanifolds
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symplectic manifolds
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length-critical paths
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exact variation.
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