Une contrainte géométrique pour certaines sous-variétés rationnellement convexes. (A geometric constraint for certain rationally convex submanifolds) (Q923170)
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scientific article; zbMATH DE number 4169046
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Une contrainte géométrique pour certaines sous-variétés rationnellement convexes. (A geometric constraint for certain rationally convex submanifolds) |
scientific article; zbMATH DE number 4169046 |
Statements
Une contrainte géométrique pour certaines sous-variétés rationnellement convexes. (A geometric constraint for certain rationally convex submanifolds) (English)
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1991
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We construct, for any totally real rationally convex submanifold in \({\mathbb{C}}^ n\), a symplectic structure positive with respect to the complex structure, which vanishes on the submanifold. This allows us to show that any such submanifold is isotopic, through totally real submanifolds, to a Lagrangian one.
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totally real submanifold
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Lagrangian submanifold
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rationally convex submanifold
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