Building Anosov flows on 3–manifolds

Béguin, François¹ ; Bonatti, Christian² ; Yu, Bin³

¹ LAGA, UMR 7539 du CNRS, Université Paris 13 Nord, 99 ave. J B Clement, 93430 Villetaneuse, France
² Institut de Mathematiques de Bourgogne, Universite de Bourgogne, 9 ave. A Savary, 21000 Dijon, France
³ School of Mathematical Sciences, Tongji University, Shanghai, 200092, China

Geometry & topology, Tome 21 (2017) no. 3, pp. 1837-1930.

Résumé

We prove we can build (transitive or nontransitive) Anosov flows on closed three-dimensional manifolds by gluing together filtrating neighborhoods of hyperbolic sets. We give several applications of this result; for example:

Détail

DOI : 10.2140/gt.2017.21.1837

Classification : 37D20, 57M99
Keywords: Anosov flows, $3$–manifolds, hyperbolic plugs

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