Transitivity of Euclidean Extensions of Anosov Diffeomorphisms

نویسندگان

  • Viorel Niţică
  • Mark Pollicott
چکیده

We consider the class of Rn extensions of Anosov diffeomorphisms on infranilmanifolds, and find necessary and sufficient conditions for topological transitivity. In particular, if the fiber is R, the existence of a semi-orbit with the projection on R unbounded from above and from below is equivalent to topological transitivity. We also show that in the above class topological transitivity and stable topological transitivity are equivalent.

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تاریخ انتشار 2001