Geometriae Dedicata

, Volume 142, Issue 1, pp 23–35 | Cite as

Découpages et inégalités systoliques pour les surfaces hyperboliques à bord

Original Paper

Résumé

Semi-eutactic and perfect surfaces are hyperbolic surfaces which have particular variational properties related to the systole (Bavard, J. Reine. Angew. Math. 482, 93–120, 1997). We focus on these surfaces, and build a systolic cutting procedure to divide them into pieces of Euler-Poincaré characteristic 0, then we give bounds for the systole. We are mainly concerned with bordered surfaces.

Mathematics Subject Classification (2000)

30F45 30F60 

Mots-clé

Hyperbolic Surface Systole 

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Copyright information

© Springer Science+Business Media B.V. 2009

Authors and Affiliations

  1. 1.Department of MathematicsBar Ilan UniversityRamat GanIsraël
  2. 2.Département de MathématiquesUniversité de FribourgFribourg PérollesSwitzerland

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