Abstract
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.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 2819-2827 |
| Number of pages | 9 |
| Journal | Discrete and Continuous Dynamical Systems- Series A |
| Volume | 34 |
| Issue number | 7 |
| DOIs | |
| State | Published - Jul 2014 |
All Science Journal Classification (ASJC) codes
- Analysis
- Discrete Mathematics and Combinatorics
- Applied Mathematics
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