Pointwise hyperbolicity implies uniform hyperbolicity

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Date
2009-02-23MFO Scientific Program
Research in Pairs 2008Series
Oberwolfach Preprints;2009,06Author
Hasselblatt, Boris
Pesin, Yakov B.
Schmeling, Jörg
Metadata
Show full item recordOWP-2009-06
Abstract
We provide a general mechanism for obtaining uniform information from pointwise data. A sample result is that if a diffeomorphism of a compact Riemannian manifold has pointwise expanding and contracting continuous invariant cone families,then the diffeomorphism is an Anosov diffeomorphism,