The teichmüller distance on the space of flat conformal structures

Hiroyasu Izeki

doi:10.1090/S1088-4173-98-00009-5

The teichmüller distance on the space of flat conformal structures

Hiroyasu Izeki

Research output: Contribution to journal › Article › peer-review

4 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 language	English
Pages (from-to)	1-24
Number of pages	24
Journal	Conformal Geometry and Dynamics
Volume	2
Issue number	1
DOIs	https://doi.org/10.1090/S1088-4173-98-00009-5
Publication status	Published - 1998 Feb 3
Externally published	Yes

Keywords

Conformally flat manifolds
Quasiconformal mappings

ASJC Scopus subject areas

Geometry and Topology

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10.1090/S1088-4173-98-00009-5

Cite this

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AB - 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.

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KW - Quasiconformal mappings

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The teichmüller distance on the space of flat conformal structures

Abstract

Keywords

ASJC Scopus subject areas

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