PL-representations of Anosov foliations
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.
Birkhoff's section to the geodesic flow of a negatively curved closed surface
scientific article; zbMATH DE number 118288
scientific article