Rigidity about two linear structures on the space of measured laminations

JIANG Manman

doi:10.13471/j.cnki.acta.snus.2020A068

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Rigidity about two linear structures on the space of measured laminations

Research articles | 更新时间：2023-11-01

- Rigidity about two linear structures on the space of measured laminations
- Acta Scientiarum Naturalium Universitatis Sunyatseni Vol. 61, Issue 5, Pages: 144-149(2022)
- 作者机构：
  
  广州航海学院基础教学部，广东广州 510725
- 作者简介：
- 基金信息：
- DOI：10.13471/j.cnki.acta.snus.2020A068
  CLC： O174.5
- Published：25 September 2022，
  
  Published Online：31 December 2021，
  
  Received：29 November 2020，
  
  Accepted：19 January 2021
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江蔓蔓.关于可测叶状结构空间上两种线性结构的刚性[J].中山大学学报(自然科学版),2022,61(05):144-149.

JIANG Manman.Rigidity about two linear structures on the space of measured laminations[J].Acta Scientiarum Naturalium Universitatis Sunyatseni,2022,61(05):144-149.
江蔓蔓.关于可测叶状结构空间上两种线性结构的刚性[J].中山大学学报(自然科学版),2022,61(05):144-149. DOI： 10.13471/j.cnki.acta.snus.2020A068.

JIANG Manman.Rigidity about two linear structures on the space of measured laminations[J].Acta Scientiarum Naturalium Universitatis Sunyatseni,2022,61(05):144-149. DOI： 10.13471/j.cnki.acta.snus.2020A068.

摘要

通过黎曼曲面的双曲长度函数与极值长度函数，将可测叶状结构空间实现为Teichmüller 空间的余切空间，从而诱导了可测叶状结构空间上的两种线性结构。证明了这两种线性结构都具有刚性性质，也即不同的黎曼曲面诱导不同的线性结构。

Abstract

By modeling the space of projective measured laminations in the cotangent space to Teichmüller space via hyperbolic length functions and extremal length functions， we associate two classes of linear structures to the space of measured laminations.We prove that both of these two linear structures are rigid： the induced linear structures on different Riemann surfaces are different

关键词

Teichmüller空间可测叶状结构线性结构双曲长度极值长度

Keywords

Teichmüller spacemeasured laminationslinear structureshyperbolic lengthextremal length

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