Lagrangian embeddings and critical point theory (Q1074918)
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scientific article; zbMATH DE number 3949333
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Lagrangian embeddings and critical point theory |
scientific article; zbMATH DE number 3949333 |
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Lagrangian embeddings and critical point theory (English)
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1985
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The work contains a proof of Arnol'd's conjecture on Lagrangian intersections: an exact Lagrangian embedding \(M\to T^*M\) which is Lagrangially isotopic to zero section intersects it in at least c(M) different points, where c(M) is the Lyusternik-Shnirel'man category of M.
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intersection points
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Hamiltonian systems
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strongly indefinite
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functionals
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Lagrangian embedding
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Lyusternik-Shnirel'man category
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