Isoperimetric constants for conservative Fuchsian groups

Matsuzaki, Katsuhiko

Kodai Math. J., Tome 28 (2005) no. 1, p. 292-300 / Harvested from Project Euclid

Résumé

The critical exponents of conservative Fuchsian groups are bounded from below by 1/2. It is proved in this note that this result is sharp by giving a sequence of conservative Fuchsian groups whose critical exponents converge to 1/2. The proof is carried out by estimating the isoperimetric constants of hyperbolic surfaces associated with the Fuchsian groups.

Publié le : 2005-06-14
Classification:

@article{1123767010,
     author = {Matsuzaki, Katsuhiko},
     title = {Isoperimetric constants for conservative Fuchsian groups},
     journal = {Kodai Math. J.},
     volume = {28},
     number = {1},
     year = {2005},
     pages = { 292-300},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1123767010}
}

Matsuzaki, Katsuhiko. Isoperimetric constants for conservative Fuchsian groups. Kodai Math. J., Tome 28 (2005) no. 1, pp.  292-300. http://gdmltest.u-ga.fr/item/1123767010/