Legendrian submanifolds and a proof on chord conjecture (Q2751164)
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scientific article; zbMATH DE number 1664437
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Legendrian submanifolds and a proof on chord conjecture |
scientific article; zbMATH DE number 1664437 |
Statements
18 November 2001
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contact and symplectic manifolds
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Legendrian submanifolds
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chord conjecture
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Fredholm operator
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Legendrian submanifolds and a proof on chord conjecture (English)
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From author's abstract: In this article, we prove that there exists at least one chord, which is a characteristic of a Reeb vector field connecting a given Legendrian submanifold in a contact manifold in exact symplectic manifolds \(V\times C\), especially we prove that for any Legendrian knot on the standard contact three sphere, there exists at least one chord connecting it for any chosen contact form adapted to the standard contact structure.NEWLINENEWLINEFor the entire collection see [Zbl 0966.00026].
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