数学物理学报(英文版) ›› 2019, Vol. 39 ›› Issue (4): 1121-1135.doi: 10.1007/s10473-019-0415-z

• 论文 • 上一篇    下一篇

THE REAL HYPER-ELLIPTIC SUBSPACES OF TEICHMÜLLER SPACE AND MODULI SPACE

胡光明, 漆毅   

  1. LMIB, School of Mathematics and Systems Science, Beihang University, Beijing 100191, China
  • 收稿日期:2017-11-09 修回日期:2018-08-22 出版日期:2019-08-25 发布日期:2019-09-12
  • 作者简介:Guangming HU,E-mail:18810692738@163.com;Yi QI,E-mail:yiqi@buaa.edu.cn
  • 基金资助:
    This work is supported by Grant No. 11871085, 11371045

THE REAL HYPER-ELLIPTIC SUBSPACES OF TEICHMÜLLER SPACE AND MODULI SPACE

Guangming HU, Yi QI   

  1. LMIB, School of Mathematics and Systems Science, Beihang University, Beijing 100191, China
  • Received:2017-11-09 Revised:2018-08-22 Online:2019-08-25 Published:2019-09-12
  • Supported by:
    This work is supported by Grant No. 11871085, 11371045

摘要: 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.

关键词: Teichmüller space, Strebel ray, moduli space, EDM ray, real hyper-elliptic subspace

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

中图分类号: 

  • 32G15