Partially Hyperbolic Dynamical Systems
نویسندگان
چکیده
15 3. Stable and unstable filtrations 17 3.1. Existence and subfoliation 17 3.2. Absolute continuity 19 4. Central Foliations 21 4.1. Normal hyperbolicity 21 4.2. Integrability of the central foliation and dynamical coherence 23 4.3. Smoothness of central leaves via normal hyperbolicity 25 4.4. Robustness of the central foliation 26 5. Intermediate Foliations 27 5.1. Nonintegrability of intermediate distributions 27 5.2. Invariant families of local manifolds 29 5.3. Lack of smoothness of the intermediate foliations 31 6. Failure of absolute continuity 31 6.1. An example of a foliation that is not absolutely continuous 32 6.2.
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