Genus one Birkhoff sections for geodesic flows
classification
🧮 math.GT
math.DS
keywords
birkhoffgenusgeodesicsectionsadmitsassociatedbundledetermine
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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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