Which geodesic flows are left-handed ? - Archive ouverte HAL
Article Dans Une Revue Groups, Geometry, and Dynamics Année : 2018

Which geodesic flows are left-handed ?

Pierre Dehornoy

Résumé

We prove that the geodesic flow on the unit tangent bundle to a hyperbolic 2-orbifold is left-handed if and only if the orbifold is a sphere with three conic points. As a consequence, on the unit tangent bundle to a 3-conic sphere, the lift of every finite collection of closed geodesics that is zero in integral homology is the binding of an open book decomposition.
Fichier principal
Vignette du fichier
GeodesicLeftHanded.pdf (1.62 Mo) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-01102467 , version 1 (12-01-2015)
hal-01102467 , version 2 (27-09-2017)

Identifiants

Citer

Pierre Dehornoy. Which geodesic flows are left-handed ?. Groups, Geometry, and Dynamics, 2018, ⟨10.4171/ggd/431⟩. ⟨hal-01102467v2⟩
149 Consultations
174 Téléchargements

Altmetric

Partager

More