no. 3-4
Topology/Dynamical Systems
Almost commensurability of 3-dimensional Anosov flows

Présenté par : Étienne Ghys

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

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.

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.

Reçu le :
Accepté le :
Publié le :
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, Tome 351 (2013) no. 3-4, pp. 127-129. doi : 10.1016/j.crma.2013.02.012. http://www.numdam.org/articles/10.1016/j.crma.2013.02.012/

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