Isoperimetric constants for conservative fuchsian groups

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Abstract

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.

Original languageEnglish
Pages (from-to)292-300
Number of pages9
JournalKodai Mathematical Journal
Volume28
Issue number2
DOIs
Publication statusPublished - 2005
Externally publishedYes

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ASJC Scopus subject areas

  • Mathematics(all)

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