Topology/Dynamical Systems
Almost commensurability of 3-dimensional Anosov flows

Presented by: Étienne Ghys

Dehornoy, Pierre1
1 Mathematisches Institut, Universität Bern, Sidlerstrasse 5, CH-3012 Bern, Switzerland
Comptes Rendus. Mathématique, Volume 351 (2013) no. 3-4, pp. 127-129.

Two flows are almost commensurable if, up to removing finitely many periodic orbits and taking finite coverings, they are topologically equivalent. We prove that all suspensions of automorphisms of the 2-dimensional torus and all geodesic flows on unit tangent bundles to hyperbolic 2-orbifolds are pairwise almost commensurable.

Deux flots sont dits presque commensurables si, quitte à retirer à chacun un nombre fini dʼorbites périodiques puis prendre un revêtement fini, ils sont topologiquement équivalents. On montre que toutes les suspensions dʼautomorphismes hyperboliques du tore de dimension 2 et tous les flots géodésiques sur les fibrés unitaires tangents dʼorbisurfaces hyperboliques sont deux à deux presque commensurables.

Received:
Accepted:
Published online:
DOI: 10.1016/j.crma.2013.02.012
Dehornoy, Pierre 1

1 Mathematisches Institut, Universität Bern, Sidlerstrasse 5, CH-3012 Bern, Switzerland 
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Dehornoy, Pierre. Almost commensurability of 3-dimensional Anosov flows. Comptes Rendus. Mathématique, Volume 351 (2013) no. 3-4, pp. 127-129. doi : 10.1016/j.crma.2013.02.012. https://www.numdam.org/articles/10.1016/j.crma.2013.02.012/

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