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Acta Mathematica Scientia

, Volume 39, Issue 4, pp 1121–1135 | Cite as

The Real Hyper-Elliptic Subspaces of Teichmüller Space and Moduli Space

  • Guangming Hu (胡光明)Email author
  • Yi Qi (漆毅)Email author
Article
  • 6 Downloads

Abstract

Although the existence and uniqueness of Strebel differentials are proved by Jenkins and Strebel, the specific constructions of Strebel differentials are difficult. Two special kinds of special Strebel differentials are constructed in [5, 6]. The Strebel rays [3] and the eventually distance minimizing rays [9] are important in Teichmüller spaces and moduli spaces, respectively. Motivated by the study of [3, 9], two special kinds of Strebel rays in the real hyper-elliptic subspace of Teichmüller space and two special kinds of EDM rays in the real hyper-elliptic subspace of moduli space are studied in this article.

Key words

Teichmüller space Strebel ray moduli space EDM ray real hyper-elliptic subspace 

2010 MR Subject Classification

32G15 30C62 30F60 

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Copyright information

© Wuhan Institute Physics and Mathematics, Chinese Academy of Sciences 2019

Authors and Affiliations

  1. 1.LMIB, School of Mathematics and Systems ScienceBeihang UniversityBeijingChina

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