Rigidity of groups of circle diffeomorphisms and teichmüller spaces

研究成果: Article

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We consider deformations of a group of circle diffeomorphisms with Hölder continuous derivative in the framework of quasiconformal Teichmüller theory and showcertain rigidity under conjugation by symmetric homeomorphisms of the circle. As an application, we give a condition for such a diffeomorphism group to be conjugate to a Möbius group by a diffeomorphism of the same regularity. The strategy is to find a fixed point of the group which acts isometrically on the integrable Teichmüller space with the Weil–Petersson metric.

元の言語English
ページ(範囲)511-548
ページ数38
ジャーナルJournal d'Analyse Mathematique
140
発行部数2
DOI
出版物ステータスPublished - 2020 3 1

ASJC Scopus subject areas

  • Analysis
  • Mathematics(all)

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