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arXiv · 1208.6405

Genus one Birkhoff sections for geodesic flows

Pierre Dehornoy
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Abstract

We prove that the geodesic flow on the unit tangent bundle to every hyperbolic 2-orbifold that is a sphere with 3 or 4 singular points admits explicit genus one Birkhoff sections, and we determine the associated first return maps.

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Pierre Dehornoy. 2012-09-11. Genus one Birkhoff sections for geodesic flows. https://doi.org/10.1017/etds.2014.14

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