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Pointwise hyperbolicity implies uniform hyperbolicity

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Author

Summary, in English

We provide a general mechanism for obtaining uniform information from pointwise data. For instance, a diffeomorphism of a compact Riemannian manifold with pointwise expanding and contracting continuous invariant cone families is an Anosov diffeomorphism, i.e., the entire manifold is uniformly hyperbolic.

Department/s

Publishing year

2014

Language

English

Pages

2819-2827

Publication/Series

Discrete and Continuous Dynamical Systems. Series A

Volume

34

Issue

7

Document type

Journal article

Publisher

American Institute of Mathematical Sciences

Topic

  • Mathematics

Keywords

  • Uniform hyperbolicity
  • nonuniform hyperbolicity
  • pointwise hyperbolicity

Status

Published

Research group

  • Dynamical systems

ISBN/ISSN/Other

  • ISSN: 1553-5231