Lagrangian submanifolds in product symplectic spaces (Q2738137)
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scientific article; zbMATH DE number 1639310
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Lagrangian submanifolds in product symplectic spaces |
scientific article; zbMATH DE number 1639310 |
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Lagrangian submanifolds in product symplectic spaces (English)
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30 August 2001
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symplectic space
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billiard-type dynamical systems
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Let \((M,\omega)\) be a symplectic manifold. Then, a symplectic structure can be introduced on \(M\times M\) in a natural way. The space of Lagrangian submanifolds of \(M\times M\) is then a natural generalization of the group of symplectic transformations of \(M\). The author then studies the global properties of the Lagrangian Grassmannian in this space.
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