The Weinstein conjecture in \(P\times {\mathbb{C}}^{\ell}\) (Q1116510)
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scientific article; zbMATH DE number 4090414
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Weinstein conjecture in \(P\times {\mathbb{C}}^{\ell}\) |
scientific article; zbMATH DE number 4090414 |
Statements
The Weinstein conjecture in \(P\times {\mathbb{C}}^{\ell}\) (English)
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1990
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Using first order systems we show that every Hamiltonian system in \(P\times {\mathbb{C}}^{\ell}\) has a periodic solution near any prescribed compact regular energy surface. This result implies in particular the Weinstein conjecture in \(P\times {\mathbb{C}}^{\ell}\).
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contact manifold
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critical point theory
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pseudoholomorphic maps
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Hamiltonian system
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0.91816413
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0.9099108
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0.9016303
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0.8955253
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