Fulltext

Genus-one Birkhoff sections for geodesic flows

DEHORNOY, PIERRE

In: Ergodic Theory and Dynamical Systems, 2015, vol. 35, no. 6, p. 1795-1813

Add to personal list
    Title
    • Genus-one Birkhoff sections for geodesic flows
    Author
    • DEHORNOY, PIERRE. Mathematisches Institut, Universität Bern, Sidlerstrasse 5, 3012 Bern, Switzerland email pierre.dehornoy@gmail.com Present address: Institut Fourier, Université Joseph Fourier-Grenoble 1, 100 rue des mathématiques, BP74, 38402 Saint-Martin-d'H\'seres cedex, France
    Document Type
    • Postprint
    Language
    • English
    Published in
    • Ergodic Theory and Dynamical Systems, 2015, vol. 35, no. 6, p. 1795-1813. Cambridge University Press
    Other Version
    Classification
    • Health
    OAI-PMH Identifier
    • oai:doc.rero.ch:299400
    Summary
    We prove that the geodesic flow on the unit tangent bundle to every hyperbolic 2-orbifold that is a sphere with three or four singular points admits explicit genus-one Birkhoff sections, and we determine the associated first return maps