Pointwise Hyperbolicity Implies Uniform Hyperbolicity
نویسندگان
چکیده
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, i.e., the entire manifold is uniformly hyperbolic.
منابع مشابه
Oberwolfach Preprints (owp) Pointwise Hyperbolicity Implies Uniform Hyperbolicity
Weprovide a generalmechanism 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, i.e., the entire manifold is uniformly hyperbolic.
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