PL-representations of Anosov foliations (Q1203395)
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scientific article; zbMATH DE number 118288
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | PL-representations of Anosov foliations |
scientific article; zbMATH DE number 118288 |
Statements
PL-representations of Anosov foliations (English)
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8 February 1993
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By choosing certain Birkhoff's section to the geodesic flow of a negatively curved closed surface, E. Ghys showed that the unstable foliation of the geodesic flow has a transversely piecewise linear structure. We explicitly describe the holonomy homomorphism induced by this transversely piecewise linear structure and calculate its discrete Godbillon-Vey invariant.
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Birkhoff's section to the geodesic flow of a negatively curved closed surface
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unstable foliation
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transversely piecewise linear structure
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holonomy homomorphism
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discrete Godbillon-Vey invariant
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