Pointwise hyperbolicity implies uniform hyperbolicity
MFO Scientific ProgramResearch in Pairs 2008
Pesin, Yakov B.
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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,