Geodesic flow, connecting orbits and almost full foliation (Q870718)
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scientific article; zbMATH DE number 5133946
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Geodesic flow, connecting orbits and almost full foliation |
scientific article; zbMATH DE number 5133946 |
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Geodesic flow, connecting orbits and almost full foliation (English)
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14 March 2007
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Considering the geodesic flow of the torus \(\mathbb{T}^2\), endowed with a metric which is a certain local deformation of the flat one, the authors exhibit an example for which the following special complicated dynamical behaviour holds: \(\bullet\) the set of minimal geodesics having a given average slope can have Hausdorff dimension 2 (in the unit tangent bundle); \(\bullet\) any two minimal sets with different rational slopes can be connected by some orbit.
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geodesic flows
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rotation numbers
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minimal configurations
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connecting orbits
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0.9137341
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0.9097332
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0.90834016
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0.9077543
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0.90431607
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0.90069234
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