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Horocycles récurrents sur des surfaces de volume infini

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Abstract

Nous construisons des exemples de surfaces à courbure négative de volume infini, sur lesquelles tous les horocycles sont récurrents. Ces exemples reposent sur le résultat suivant: si le rayon d’injectivité le long d’une géodésique n’est pas minoré, alors l’horocycle associé est récurrent.

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Authors and Affiliations

  1. Université de Bretagne Occidentale, 6 av. Le Gorgeu, 29238, Brest cedex, France

    Yves Coudène

  2. IRMAR, Université Rennes 1, Campus beaulieu, 35042, Rennes cedex, France

    François Maucourant

Authors
  1. Yves Coudène
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  2. François Maucourant
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Correspondence to Yves Coudène.

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Coudène, Y., Maucourant, F. Horocycles récurrents sur des surfaces de volume infini. Geom Dedicata 149, 231–242 (2010). https://doi.org/10.1007/s10711-010-9479-6

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  • DOI: https://doi.org/10.1007/s10711-010-9479-6

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