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Almost commensurability of 3-dimensional Anosov flows - MaRDI portal

Almost commensurability of 3-dimensional Anosov flows (Q2376606)

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Almost commensurability of 3-dimensional Anosov flows
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    Almost commensurability of 3-dimensional Anosov flows (English)
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    24 June 2013
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    Two flows are called commensurable if they admit finite coverings by topologically equivalent flows. Two flows \(\phi,\psi\) on manifolds \(M,N\) are called almost commensurable if there exists a finite collection \(\Gamma\) (respectively, \(G\)) of periodic orbits of \(\phi\) (respectively, of \(\psi\)) such that \(\phi|_{M\setminus \Gamma}\) is commensurable to \(\psi|_{N\setminus G}\). The author shows that all suspensions of automorphisms of the 2-torus and all geodesic flows on unit tangent bundles to hyperbolic 2-orbifolds are pairwise almost commensurable.
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