Expansive foliations (Q1190705)
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scientific article; zbMATH DE number 55918
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Expansive foliations |
scientific article; zbMATH DE number 55918 |
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Expansive foliations (English)
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26 September 1992
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The authors introduce the notion of expansiveness into foliation theory. They prove that in the case of codimension-one foliations the topological structure of a foliation completely characterizes its expansiveness. It follows that the geometric entropy of a codimension-one expansive foliation is positive and that the fundamental group of a manifold admitting a codimension-one expansive foliation has exponential growth. Similar results are obtained in the case of strongly expansive foliations with arbitrary codimension.
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codimension-one foliations
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geometric entropy
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expansive foliation
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fundamental group
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exponential growth
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strongly expansive foliations
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