Coding of geodesics and Lorenz-like templates for some geodesic flows

Coding of geodesics and Lorenz-like templates for some geodesic flows

We construct a template with two ribbons that describes the topology of all periodic orbits of the geodesic flow on the unit tangent bundle to any sphere with three cone points with hyperbolic metric. The construction relies on the existence of a particular coding with two letters for the geodesics...

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Veröffentlicht in:Ergodic theory and dynamical systems 2018-05, Vol.38 (3), p.940-960
Hauptverfasser: DEHORNOY, PIERRE, PINSKY, TALI
Format: Artikel
Sprache:eng
Schlagworte:
Coding
Dynamical Systems
Geodesy
Geometric Topology
Mathematics
Original Article
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Beschreibung
Zusammenfassung:We construct a template with two ribbons that describes the topology of all periodic orbits of the geodesic flow on the unit tangent bundle to any sphere with three cone points with hyperbolic metric. The construction relies on the existence of a particular coding with two letters for the geodesics on these orbifolds.
ISSN:0143-3857
1469-4417
DOI:10.1017/etds.2016.59