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

• Published in: Acta mathematica scientia Vol. 39; no. 4; pp. 1121 - 1135
• Main Authors: Hu, Guangming, Qi, Yi
• Format: Journal Article
• Language: English
• 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

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...