Variétés symplectiques affines. (Affine symplectic manifolds) (Q1823522)
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scientific article; zbMATH DE number 4115579
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Variétés symplectiques affines. (Affine symplectic manifolds) |
scientific article; zbMATH DE number 4115579 |
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Variétés symplectiques affines. (Affine symplectic manifolds) (English)
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1989
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In the paper under review the author proves the following two results: (i) Every homogeneous symplectic manifold with closed regular action of a solvable Lie group has Lagrangian foliations. (ii) Every connected and simply connected Lie group with left invariant affine structure can be embedded as a leaf of a left invariant Lagrangian foliation in a symplectic Lie group.
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Lie groups
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affine structure
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homogeneous symplectic manifold
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solvable Lie group
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Lagrangian foliations
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invariant Lagrangian foliation
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