Piecewise-linear coordinates for affine foliations on surfaces
type: Item
instance of: scholarly article
title: Piecewise-linear coordinates for affine foliations on surfaces
zbMATH Open document ID: 1062.57035
author: Athanase Papadopoulos
published in: Milan Journal of Mathematics
publication date: 2005-04-10T00:00:00Z
review text: The author presents the theory of piecewise-linear coordinates for the space of affine foliations on oriented closed surfaces of genus \(g >1\). Affine foliations are a generalization of measured foliations. He studies the space of affine foliations as defined by \textit{A. Hatcher} and \textit{U. Oertel} [Pac. J. Math. 154, No. 1, 87--101 (1992; Zbl 0772.57032)]. He generalizes some results obtained by W. Thurston for measured foliations.
reviewed by: Robert A. Wolak
Mathematics Subject Classification ID: 57R30
Mathematics Subject Classification ID: 57N05
zbMATH DE Number: 2154750
zbMATH Keywords: measured foliations
zbMATH Keywords: affine foliations
zbMATH Keywords: surface
MaRDI profile type: Publication
full work available at URL: s00032-002-0010-2
OpenAlex ID: W2089519040
DOI: 10.1007/S00032-002-0010-2
description: scientific article; zbMATH DE number 2154750