Abstract
A hyperbolic 2-sphere is made from the double of an $n$-gon in Poincaré disc. Its geodesic flow is a transitive Anosov flow. We construct genus one Birkhoff sections for the geodesic flows of hyperbolic 2-spheres with $n$ ($\ge 3$) singularities.
Information
Published: 1 January 2017
First available in Project Euclid: 4 October 2018
zbMATH: 1393.37044
MathSciNet: MR3726719
Digital Object Identifier: 10.2969/aspm/07210367
Subjects:
Primary:
37D40
Secondary:
57R18
,
57R30
Keywords:
Birkhoff section
,
geodesic flow
,
hyperbolic orbifold
,
transitive Anosov flow
Rights: Copyright © 2017 Mathematical Society of Japan
