Displaying similar documents to “Reversible Anosov diffeomorphisms and large deviations.”

Projectively Anosov flows with differentiable (un)stable foliations

Takeo Noda (2000)

Annales de l'institut Fourier

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We consider projectively Anosov flows with differentiable stable and unstable foliations. We characterize the flows on T 2 which can be extended on a neighbourhood of T 2 into a projectively Anosov flow so that T 2 is a compact leaf of the stable foliation. Furthermore, to realize this extension on an arbitrary closed 3-manifold, the topology of this manifold plays an essential role. Thus, we give the classification of projectively Anosov flows on T 3 . In this case, the only flows on T 2 which...

Regular projectively Anosov flows with compact leaves

Takeo Noda (2004)

Annales de l’institut Fourier

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This paper concerns projectively Anosov flows φ t with smooth stable and unstable foliations ℱ s and ℱ u on a Seifert manifold M . We show that if the foliation ℱ s or ℱ u contains a compact leaf, then the flow φ t is decomposed into a finite union of models which are defined on T 2 × I and bounded by compact leaves, and therefore the manifold M is homeomorphic to the 3-torus. In the proof, we also obtain a theorem which classifies codimension one foliations on Seifert manifolds with compact leaves which...

Spectra of Ruelle Transfer Operators for Contact Flows

Stoyanov, Luchezar (2008)

Serdica Mathematical Journal

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In this survey article we discuss some recent results concerning strong spectral estimates for Ruelle transfer operators for contact flows on basic sets similar to these of Dolgopyat obtained in the case of Anosov flows with C1 stable and unstable foliations. Some applications of Dolgopyat's results and the more recent ones are also described.