Pointwise hyperbolicity implies uniform hyperbolicity

Boris Hasselblatt, Yakov Pesin, Jörg Schmeling

Forskningsoutput: TidskriftsbidragArtikel i vetenskaplig tidskriftPeer review

Sammanfattning

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.
Originalspråkengelska
Sidor (från-till)2819-2827
TidskriftDiscrete and Continuous Dynamical Systems. Series A
Volym34
Nummer7
DOI
StatusPublished - 2014

Ämnesklassifikation (UKÄ)

  • Matematik

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