Closed characteristics on asymmetric convex hypersurfaces in \(\mathbb{R}^{2n}\) and the corresponding pinching conditions (Q1887415)
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scientific article; zbMATH DE number 2119040
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Closed characteristics on asymmetric convex hypersurfaces in \(\mathbb{R}^{2n}\) and the corresponding pinching conditions |
scientific article; zbMATH DE number 2119040 |
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Closed characteristics on asymmetric convex hypersurfaces in \(\mathbb{R}^{2n}\) and the corresponding pinching conditions (English)
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25 November 2004
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The authors prove the existence of a \(C^{1,1}\) compact hypersurface in \(\mathbb{R}^{2n}\) bounding a convex set with non-empty interior, not necessarily symmetric, which has exactly \(n\) geometrically distinct closed characteristics. They use this example to improve earlier multiplicity results on closed characteristics under pinching conditions.
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closed characteristic
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multiplicity
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pinching condition
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0.9312131
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0.9301223
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0.9291223
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0.9226466
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0.9144328
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0.90835553
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0.9054682
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