Self-intersecting geodesics and entropy of the geodesic flow |
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Authors: | Sigurd Angenent |
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Affiliation: | (1) Department of Mathematics, University of Wisconsin at Madison, Madison, USA |
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Abstract: | Given a symmetric Finsler metric on whose geodesic flow has zero topological entropy, we show that the lift in the universal covering ℝ2 → of any closed geodesic on must be an embedded curve in ℝ2. Partially supported by NSF grant DMS-0101124, and NWO through a visitor’s fellowship B 61-581 |
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Keywords: | geodesic flow Finsler surface zero entropy |
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