منابع مشابه
On Uniformly Quasiconformal Anosov Systems
We show that for any uniformly quasiconformal symplectic Anosov diffeomorphism of a compact manifold of dimension at least 4, its finite cover is C∞ conjugate to an Anosov automorphism of a torus. We also prove that any uniformly quasiconformal contact Anosov flow on a compact manifold of dimension at least 5 is essentially C∞ conjugate to the geodesic flow of a manifold of constant negative cu...
متن کاملSmooth Rigidity of Uniformly Quasiconformal Anosov Flows
We classify the C∞ volume-preserving uniformly quasiconformal Anosov flows, such that E+⊕E− is C∞ and the dimensions of E+ and E− are at least two. Then we deduce a classification of volume-preserving uniformly quasiconformal Anosov flows with smooth distributions.
متن کاملOn Orbit Equivalence of Quasiconformal Anosov Flows
We classify up to C∞ orbit equivalence the volume-preserving quasiconformal Anosov flows whose strong stable and strong unstable distributions are at least three-dimensional. If one of the strong distributions is two-dimensional, then we get a partial classification. Using these classification results, we obtain the following rigidity result : Let Φ the the orbit foliation of the geodesic flow ...
متن کاملOn Contact Anosov Flows
The study of decay of correlations for hyperbolic systems goes back to the work of Sinai [36] and Ruelle [32]. While a manifold of results were obtained thru the years for maps, some positive results have been established for Anosov flows only recently. Notwithstanding the proof of ergodicity, and mixing, for geodesic flows on manifolds of negative curvature [15, 1, 35] the first quantitative r...
متن کاملFurther Rigidity Properties of Conformal Anosov Systems
We consider systems that have some hyperbolicity behavior and which preserve conformal structures on the stable and unstable bundles. We show that two such systems that are topologically conjugate are smoothly conjugate. This is somewhat more general than a conjecture of the author in 2002. Related results have also been obtained by B. Kalinin and V. Sadovskaia.
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ژورنال
عنوان ژورنال: Mathematical Research Letters
سال: 2005
ISSN: 1073-2780,1945-001X
DOI: 10.4310/mrl.2005.v12.n3.a12