The teichmüller distance on the space of flat conformal structures

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3 Citations (Scopus)

Abstract

We define the Teichmüller pseudodistance on spaces of flat conformal structures by the same manner as classical Teichmüller distance on the Teichmüller space of Riemann surfaces. We will prove that for compact manifolds this pseudodistance becomes a complete distance. We will also prove similar results for noncompact manifolds under certain assumptions.

Original languageEnglish
Pages (from-to)1-24
Number of pages24
JournalConformal Geometry and Dynamics
Volume2
Issue number1
DOIs
Publication statusPublished - 1998 Feb 3
Externally publishedYes

Keywords

  • Conformally flat manifolds
  • Quasiconformal mappings

ASJC Scopus subject areas

  • Geometry and Topology

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