Interdisciplinary Information Sciences
Online ISSN : 1347-6157
Print ISSN : 1340-9050
ISSN-L : 1340-9050
The Space of Closed Geodesics on a Surface
Kazuhiro ICHIHARA
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Keywords: closed geodesic, hyperbolic surface, Hausdorff space
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2003 Volume 9 Issue 1 Pages 23-25

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Abstract

We introduce a topology to the set of closed geodesics on a hyperbolic surface in certain natural way and show that the space is not a Hausdorff space.

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© 2003 by the Graduate School of Information Sciences (GSIS), Tohoku University

This article is licensed under a Creative Commons [Attribution 4.0 International] license.
https://creativecommons.org/licenses/by/4.0/
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