Diffeomorphisms Holder conjugate to Anosov diffeomorphisms

Preprint English OPEN
Gogolev, Andrey (2008)
  • Subject: 37D20, 37D25 | Mathematics - Dynamical Systems
    arxiv: Mathematics::Dynamical Systems | Mathematics::Geometric Topology | Mathematics::Symplectic Geometry

We show by means of a counterexample that a $C^{1+Lip}$ diffeomorphism Holder conjugate to an Anosov diffeomorphism is not necessarily Anosov. The counterexample can bear higher smoothness up to $C^3$. Also we include a result from the 2006 Ph.D. thesis of T. Fisher: a ... View more
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