Découpages et inégalités systoliques pour les surfaces hyperboliques
- Gendulphe, Matthieu Department of Mathematics, Bar Ilan University, Ramat Gan, Israël - Département de Mathématiques, Université de Fribourg, Switzerland
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31.01.2009
Published in:
- Geometriae Dedicata. - 2009, vol. 142, no. 1, p. 23-35
English
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.
- Faculty
- Faculté des sciences et de médecine
- Department
- Département de Mathématiques
- Language
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- English
- Classification
- Mathematics
- License
- License undefined
- Identifiers
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- RERO DOC 13183
- DOI 10.1007/s10711-009-9355-4
- Persistent URL
- https://folia.unifr.ch/unifr/documents/301345
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