Pointwise hyperbolicity implies uniform hyperbolicity
Författare
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.
Avdelning/ar
- Matematik LTH
- Dynamical systems
Publiceringsår
2014
Språk
Engelska
Sidor
2819-2827
Publikation/Tidskrift/Serie
Discrete and Continuous Dynamical Systems. Series A
Volym
34
Issue
7
Dokumenttyp
Artikel i tidskrift
Förlag
American Institute of Mathematical Sciences
Ämne
- Mathematics
Nyckelord
- Uniform hyperbolicity
- nonuniform hyperbolicity
- pointwise hyperbolicity
Status
Published
Forskningsgrupp
- Dynamical systems
ISBN/ISSN/Övrigt
- ISSN: 1553-5231