Surfaces of section for expansive flows on three-manifolds
type: Item
instance of: scholarly article
title: Surfaces of section for expansive flows on three-manifolds
zbMATH Open document ID: 0828.58024
author: Marco Brunella
published in: Journal of the Mathematical Society of Japan
publication date: 1995-09-25T00:00:00Z
review text: We prove that any transitive expansive flow on a three-dimensional closed manifold admits surfaces of section with first return maps topologically conjugate to pseudo-Anosov diffeomorphisms. We use this property to construct Markov partitions and semi-conjugations with subshifts of finite type for these flows.
Mathematics Subject Classification ID: 37D99
Mathematics Subject Classification ID: 37C85
zbMATH DE Number: 800609
zbMATH Keywords: expansive flows
zbMATH Keywords: Anosov flows
zbMATH Keywords: foliations
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2969/jmsj/04730491
OpenAlex ID: W2027149264
DOI: 10.2969/JMSJ/04730491
description: scientific article; zbMATH DE number 800609