Acta mathematica scientia,Series B ›› 2019, Vol. 39 ›› Issue (4): 1121-1135.doi: 10.1007/s10473-019-0415-z

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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

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

CLC Number: 

  • 32G15
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