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An example of a planar Anosov diffeomorphism without fixed points

Part of: Dynamical systems with hyperbolic behavior Smooth dynamical systems: general theory

Published online by Cambridge University Press:  06 December 2019

SHIGENORI MATSUMOTO
SHIGENORI MATSUMOTO*
Affiliation:
Department of Mathematics, College of Science and Technology, Nihon University, 1-8-14 Kanda, Surugadai, Chiyoda-ku, Tokyo, 101-8308, Japan email matsumo@math.cst.nihon-u.ac.jp
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Abstract

We construct an example of a fixed point free Anosov diffeomorphism of the plane, which is not topologically conjugate to a translation.

Keywords

Anosov diffeomorphismfixed pointfoliation

MSC classification

Primary: 37D20: Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.)
Secondary: 37C15: Topological and differentiable equivalence, conjugacy, invariants, moduli, classification
Type
Original Article
Information
Ergodic Theory and Dynamical Systems , Volume 41 , Issue 3 , March 2021 , pp. 923 - 934
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Copyright
© Cambridge University Press, 2019

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References

Groisman, J. and Nitecki, Z.. Foliations and conjugacy, II: The Mendes conjecture for time-one maps of flows. Ergod. Th. & Dynam. Sys., to appear. Preprint, arXiv:1812.04689.Google Scholar
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