Geodesic
Which geodesic flows are left-handed?
Pierre Dehornoy1
1Université Grenoble Alpes, France
Groups, geometry, and dynamics, Tome 11 (2017) no. 4, pp. 1347-1376

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DOI

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 cone points. As a consequence, on the unit tangent bundle to a 3-conic sphere, the lift of every finite collection of closed geodesics is a fibered link.
DOI : 10.4171/ggd/431
Classification : 57-XX, 37-XX
Mots-clés : Chirality, hyperbolic surface, knot, geodesic flow, Anosov flow, Markov partition, fibered knot, oben book decomposition

Pierre Dehornoy  1

1 Université Grenoble Alpes, France 
Pierre Dehornoy. Which geodesic flows are left-handed?. Groups, geometry, and dynamics, Tome 11 (2017) no. 4, pp. 1347-1376. doi: 10.4171/ggd/431
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