The teichmüller distance on the space of flat conformal structures

研究成果: Article

3 引用 (Scopus)

抄録

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.

元の言語English
ページ(範囲)1-24
ページ数24
ジャーナルConformal Geometry and Dynamics
2
発行部数1
DOI
出版物ステータスPublished - 1998 2 3
外部発表Yes

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Conformal Structure
Noncompact Manifold
Riemann Surface
Compact Manifold

ASJC Scopus subject areas

  • Geometry and Topology

これを引用

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abstract = "We define the Teichm{\"u}ller pseudodistance on spaces of flat conformal structures by the same manner as classical Teichm{\"u}ller distance on the Teichm{\"u}ller 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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