Dehornoy, Pierre (2015). Genus-one Birkhoff sections for geodesic flows. Ergodic theory & dynamical systems, 35(6), pp. 1795-1813. Cambridge University Press 10.1017/etds.2014.14
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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 three or four singular points admits explicit genus-one Birkhoff sections, and we determine the associated first return maps.
Item Type: |
Journal Article (Original Article) |
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Division/Institute: |
08 Faculty of Science > Department of Mathematics and Statistics > Institute of Mathematics |
UniBE Contributor: |
Dehornoy, Pierre |
Subjects: |
500 Science > 510 Mathematics |
ISSN: |
0143-3857 |
Publisher: |
Cambridge University Press |
Language: |
English |
Submitter: |
Marceline Brodmann |
Date Deposited: |
28 Jul 2020 09:28 |
Last Modified: |
05 Dec 2022 15:13 |
Publisher DOI: |
10.1017/etds.2014.14 |
BORIS DOI: |
10.7892/boris.115367 |
URI: |
https://boris.unibe.ch/id/eprint/115367 |