Geometriae Dedicata

, Volume 142, Issue 1, pp 23–35

Découpages et inégalités systoliques pour les surfaces hyperboliques à bord

Original Paper

DOI: 10.1007/s10711-009-9355-4

Cite this article as:
Gendulphe, M. Geom Dedicata (2009) 142: 23. doi:10.1007/s10711-009-9355-4


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 


Hyperbolic Surface Systole 

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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