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

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 minimizi...

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Bibliographic Details
Published inActa mathematica scientia Vol. 39; no. 4; pp. 1121 - 1135
Main Authors Hu, Guangming, Qi, Yi
Format Journal Article
LanguageEnglish
Published Singapore Springer Singapore 01.07.2019
Subjects
Analysis
Mathematics
Mathematics and Statistics
moduli space
Strebel ray
30F60
30C62
Teichmüller space
32G15
EDM ray
real hyper-elliptic subspace
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Summary: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.
ISSN:0252-9602
1572-9087
DOI:10.1007/s10473-019-0415-z