# Questions tagged [anosov-systems]

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### Codimension 2 foliations on simply connected 4-manifolds

Are there examples of codimension 2 foliations on simply connected compact 4-manifolds such that Every leaf is diffeomorphic to $\mathbb R^2$ Every leaf is dense? Same question for 5-manifolds and ...
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### Kalinin's formulation of the Anosov closing lemma

I'm trying to read a paper of Boris Kalinin on the cohomology of dynamical systems for a project. The material is geared towards topologically transitive Anosov diffeomorphisms (which is how the ...
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### Leaves of stable foliation of holomorphic Anosov diffeomorphism

I'm trying to understand the first half of the paper "Holomorphic Anosov systems" by E. Ghys (the journal reference is Inventiones mathematicae volume 119, pages 585–614(1995)). My question is about a ...
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Let $M$ be a closed manifold, $m$ be the normalized volume measure on $M$, and $f:M\to M$ be a $C^2$ transitive Anosov diffeomorphism. Consider the pushforward $f^km$ defined by ----------$f^km(A):=m(... 0answers 107 views ### Characterization of topological entropy? Let$V$be a smooth Anosov vector field on a compact$n$dimensional manifold$X$. Let$D(X)$denote the set of distance functions$d$on$X$that are equivalent to fixed Riemannian distance. For each ... 0answers 65 views ### Transverse measures in pseudo-Anosov diffeomorphisms I've recently begun doing research involving pseudo-Anosov diffeomorphisms, which are diffeomorphisms on surfaces$f : M \to M$admitting two singular measured foliations$(\mathcal F^s, \nu^s)$and$(...
Let $\Lambda$ be Axiom A for $C^{1+\gamma}$ $f$. I am reading this paper. I have a problem to undestand holonomies. The holonomy mapping  h: W_{loc}^{s} (x) \cap\Lambda \rightarrow W_{loc}^{s} (y) \...