The Real Hyper-Elliptic Subspaces of Teichmüller Space and Moduli Space
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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  and the eventually distance minimizing rays  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 wordsTeichmüller space Strebel ray moduli space EDM ray real hyper-elliptic subspace
2010 MR Subject Classification32G15 30C62 30F60
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