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Anneaux extrémaux dans les surfaces de Riemann

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Résumé

Soit X une surface hyperbolique fermée et soit c une réunion disjointe de géodésiques fermées simples de X. Nous établissons une majoration optimale du rayon d’injectivité de c en fonction de sa longueur totale et de la caractéristique d’Euler-Poincaré de X.

Abstract

Let X be a closed hyperbolic surface, and let c be a disjoint union of simple closed geodesics on X. A sharp upper bound for the injectivity radius of c is given in terms of the total length of c and of the Euler-Poincaré characteristic of X.

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Authors and Affiliations

  1. Lab. Bordelais d’Analyse et Géométrie, UMR 5467 CNRS, Université Bordeaux 1, 351, cours de la Libération, 33405, Talence Cedex, France

    C. Bavard

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  1. C. Bavard
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Correspondence to C. Bavard.

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Bavard, C. Anneaux extrémaux dans les surfaces de Riemann. manuscripta math. 117, 265–271 (2005). https://doi.org/10.1007/s00229-005-0556-3

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  • DOI: https://doi.org/10.1007/s00229-005-0556-3

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