Hostname: page-component-586b7cd67f-t8hqh Total loading time: 0 Render date: 2024-11-20T11:28:29.261Z Has data issue: false hasContentIssue false
  • English
  • Français

A simple proof of the Franks–Newhouse theorem on codimension-one Anosov diffeomorphisms

Published online by Cambridge University Press:  04 June 2001

KOICHI HIRAIDE
KOICHI HIRAIDE
Affiliation:
Department of Mathematical Sciences, Faculty of Science, Ehime University, Matsuyama 790-8577, Japan (e-mail: [email protected])
Get access Rights & Permissions [Opens in a new window]

Abstract

This paper gives a simple proof of the well-known fact that a codimension-one Anosov diffeomorphism of a closed manifold is topologically conjugate to a hyperbolic toral automorphism.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 21 , Issue 3 , June 2001 , pp. 801 - 806
Copyright
2001 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)