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Closed geodesics on pairs of pants

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Abstract

We study the non-simple closed geodesics of the Riemann surfaces of signature (0, 3). In the aim of classifying them, we define one parameter: the number of strings. We show that for a given number of strings, a minimal geodesic exists; we then give its representation and its length which depends on the boundary geodesics.

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Author notes

  1. Claire M. Baribaud

    Present address: Department of Mathematics, ETH-Zentrum, 8029, Zürich, Switzerland

Authors and Affiliations

  1. Département de Mathématiques, Ecole Polytechnique Fédérale de Lausanne, CH-1015, Lausanne, Switzerland

    Claire M. Baribaud

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  1. Claire M. Baribaud
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Correspondence to Claire M. Baribaud.

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Baribaud, C.M. Closed geodesics on pairs of pants. Isr. J. Math. 109, 339–347 (1999). https://doi.org/10.1007/BF02775042

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  • DOI: https://doi.org/10.1007/BF02775042

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