TY - JOUR
T1 - Isoperimetric constants for conservative fuchsian groups
AU - Matsuzaki, Katsuhiko
PY - 2005
Y1 - 2005
N2 - 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.
AB - 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.
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U2 - 10.2996/kmj/1123767010
DO - 10.2996/kmj/1123767010
M3 - Article
AN - SCOPUS:77955249775
SN - 0386-5991
VL - 28
SP - 292
EP - 300
JO - Kodai Mathematical Journal
JF - Kodai Mathematical Journal
IS - 2
ER -