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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: hiraide@ehimegw.dpc.ehime-u.ac.jp)
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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

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