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Coding of geodesics and Lorenz-like templates for some geodesic flows

Published online by Cambridge University Press:  20 September 2016

PIERRE DEHORNOY  and
TALI PINSKY
PIERRE DEHORNOY
Affiliation:
University of Grenoble Alpes, IF, F-38000 Grenoble, France email [email protected] CNRS, IF, F-38000 Grenoble, France
TALI PINSKY
Affiliation:
Department of Mathematics, University of British Columbia, Vancouver, BC, Canada email [email protected]
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Abstract

We construct a template with two ribbons that describes the topology of all periodic orbits of the geodesic flow on the unit tangent bundle to any sphere with three cone points with hyperbolic metric. The construction relies on the existence of a particular coding with two letters for the geodesics on these orbifolds.

Type
Original Article
Information
Ergodic Theory and Dynamical Systems , Volume 38 , Issue 3 , May 2018 , pp. 940 - 960
Copyright
© Cambridge University Press, 2016 

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