The miracle of Anosov Baire rigidity - nonuniform hyperbolicity everywhere implies uniform hyperbolicity

Boris Hasselblatt, Yakov Pesin, Jörg Schmeling

Forskningsoutput: TidskriftsbidragArtikel i vetenskaplig tidskrift

Sammanfattning

We provide a general mechanism for obtaining uniform information from
pointwise data even when the pertinent quantities are highly discontinuous. Some of the applications are almost too good to be believed: If a diffeomorphism of a com-pact Riemannian manifold has nonzero Lyapunov exponents everywhere then the nonwandering set is uniformly hyperbolic. If, in addition, there are expanding and contracting invariant cone families, which need not be continuous, then the diffeomor-phism is an Anosov diffeomorphism, i.e., the entire manifold is uniformly hyperbolic.
Originalspråkengelska
TidskriftHistorielärarnas Förenings Årsskrift
StatusSubmitted - 2009

Ämnesklassifikation (UKÄ)

  • Matematik

Fingeravtryck

Utforska forskningsämnen för ”The miracle of Anosov Baire rigidity - nonuniform hyperbolicity everywhere implies uniform hyperbolicity”. Tillsammans bildar de ett unikt fingeravtryck.

Citera det här