Hyperbolicity from contact surgery. (English) Zbl 1529.37024
Summary: A Dehn surgery on the periodic fiber flow of the unit tangent bundle of a surface produces a uniformly hyperbolic Cantor set for the resulting contact flow.
MSC:
| 37D40 | Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) |
| 37D20 | Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) |
| 57K33 | Contact structures in 3 dimensions |
| 53E50 | Flows related to symplectic and contact structures |
| 57R65 | Surgery and handlebodies |
References:
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