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Self-intersecting geodesics and entropy of the geodesic flow
Authors:Sigurd Angenent
Affiliation:(1) Department of Mathematics, University of Wisconsin at Madison, Madison, USA
Abstract:Given a symmetric Finsler metric on $$
mathbb{T}^2 
$$ whose geodesic flow has zero topological entropy, we show that the lift in the universal covering ℝ2$$
mathbb{T}^2 
$$ of any closed geodesic on $$
mathbb{T}^2 
$$ must be an embedded curve in ℝ2. Partially supported by NSF grant DMS-0101124, and NWO through a visitor’s fellowship B 61-581
Keywords:geodesic flow  Finsler surface  zero entropy
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