Articles

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

  • Guangming HU ,
  • Yi QI
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  • LMIB, School of Mathematics and Systems Science, Beihang University, Beijing 100191, China

Received date: 2017-11-09

  Revised date: 2018-08-22

  Online 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.

Cite this article

Guangming HU , Yi QI . THE REAL HYPER-ELLIPTIC SUBSPACES OF TEICHMÜLLER SPACE AND MODULI SPACE[J]. Acta mathematica scientia, Series B, 2019 , 39(4) : 1121 -1135 . DOI: 10.1007/s10473-019-0415-z

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