PL-representations of Anosov foliations
type: Item
instance of: scholarly article
title: PL-representations of Anosov foliations
zbMATH Open document ID: 0759.57018
author: Norikazu Hashiguchi
publication date: 1993-02-08T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/74980
review text: 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.
Mathematics Subject Classification ID: 57R30
Mathematics Subject Classification ID: 57R32
zbMATH DE Number: 118288
zbMATH Keywords: Birkhoff's section to the geodesic flow of a negatively curved closed surface
zbMATH Keywords: unstable foliation
zbMATH Keywords: transversely piecewise linear structure
zbMATH Keywords: holonomy homomorphism
zbMATH Keywords: discrete Godbillon-Vey invariant
MaRDI profile type: Publication
OpenAlex ID: W2313202265
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DOI: 10.5802/AIF.1316
published in: Annales de l’institut Fourier
description: scientific article; zbMATH DE number 118288