Browsing by Author "Schmeling, Jörg"
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- ItemPointwise hyperbolicity implies uniform hyperbolicity(Oberwolfach : Mathematisches Forschungsinstitut Oberwolfach, 2009) Hasselblatt, Boris; Pesin, Yakov; Schmeling, JörgWe provide a generalmechanismfor obtaining uniforminformation 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, i.e., the entire manifold is uniformly hyperbolic.