Genericity of geodesic flows with positive topological entropy on \(S^2\) (Q1424006)
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scientific article; zbMATH DE number 2052871
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Genericity of geodesic flows with positive topological entropy on \(S^2\) |
scientific article; zbMATH DE number 2052871 |
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Genericity of geodesic flows with positive topological entropy on \(S^2\) (English)
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8 March 2004
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In the paper under review the authors prove that the set of \(C^\infty\) Riemannian metrics on \(S^2\) and \(\mathbb{R}P^2\) whose geodesic flow has positive topological entropy is open and dense in the \(C^2\) topology.
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geodesic flow
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topological entropy
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stable manifolds
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bumpy metrics.
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