Non-stationary and discontinuous quasiconformal mapping class groups

Ege Fujikawa, Katsuhiko Matsuzaki

Research output: Contribution to journal › Article

3 Citations (Scopus)

Abstract

Every stationary subgroup of the quasiconformal mapping class group of a Riemann surface acts on the Teichmüller space discontinuously if the surface satisfies a certain geometric condition. In this paper, we construct such a Riemann surface that the quasiconformal mapping class group is non-stationary but it still acts on the Teichmüller space discontinuously.

Original languageEnglish
Pages (from-to)173-185
Number of pages13
JournalOsaka Journal of Mathematics
Volume44
Issue number1
Publication statusPublished - 2007 Mar
Externally publishedYes

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Quasiconformal Mapping
Mapping Class Group
Riemann Surface
Subgroup

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Non-stationary and discontinuous quasiconformal mapping class groups. / Fujikawa, Ege; Matsuzaki, Katsuhiko.

In: Osaka Journal of Mathematics, Vol. 44, No. 1, 03.2007, p. 173-185.

Research output: Contribution to journal › Article

Fujikawa, E & Matsuzaki, K 2007, 'Non-stationary and discontinuous quasiconformal mapping class groups', Osaka Journal of Mathematics, vol. 44, no. 1, pp. 173-185.
Fujikawa E, Matsuzaki K. Non-stationary and discontinuous quasiconformal mapping class groups. Osaka Journal of Mathematics. 2007 Mar;44(1):173-185.
Fujikawa, Ege ; Matsuzaki, Katsuhiko. / Non-stationary and discontinuous quasiconformal mapping class groups. In: Osaka Journal of Mathematics. 2007 ; Vol. 44, No. 1. pp. 173-185.
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