Systoles of a family of triangle surfaces
Hamenstädt, Ursula ; Koch, Roman
Experiment. Math., Tome 11 (2002) no. 3, p. 249-270 / Harvested from Project Euclid
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We determine the systoles for a family of closed hyperbolic triangle surfaces which admit a particularly simple combinatorial description. We show that, in this family, there are exactly four surfaces which are maximal, i.e., for which the length of the systole is a local maximum in Teichmüller space. One of these surfaces gives a new example of a maximal surface.
Publié le : 2002-05-14
Classification:  Triangle surfaces,  classification of systoles,  maximal surfaces,  53C22 
@article{1062621219,
     author = {Hamenst\"adt, Ursula and Koch, Roman},
     title = {Systoles of a family of triangle surfaces},
     journal = {Experiment. Math.},
     volume = {11},
     number = {3},
     year = {2002},
     pages = { 249-270},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1062621219}
}

Hamenstädt, Ursula; Koch, Roman. Systoles of a family of triangle surfaces. Experiment. Math., Tome 11 (2002) no. 3, pp.  249-270. http://gdmltest.u-ga.fr/item/1062621219/