On various teichmüller spaces of a surface of infinite topological type

Daniele Alessandrini, Lixin Liu, Athanase Papadopoulos, Weixu Su

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

Abstract

We investigate various Teichmüller spaces associated to a surface of infinite topological type. We show that the length spectrum metric is complete. We give results and examples that compare the length spectrum Teichmüller space with the quasiconformal and the Fenchel-Nielsen Teichmüller spaces.

Original languageEnglish
Pages (from-to)561-574
Number of pages14
JournalProceedings of the American Mathematical Society
Volume140
Issue number2
DOIs
StatePublished - 2012

Keywords

  • Fenchel-nielsen coordinates
  • Fenchel-nielsen metric
  • Length spectrum metric
  • Quasiconformal metric
  • Surfaces of infinite topological type
  • Teichmüller metric
  • Teichmüller space

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