数学物理学报 ›› 2013, Vol. 33 ›› Issue (6): 1062-1067.

• 论文 • 上一篇    下一篇

Teichm\"{u}ller 映射与二次微分的高度映射

黄华鹰   

  1. 安徽大学 数学科学学院 合肥 230601
  • 收稿日期:2012-10-09 修回日期:2013-08-10 出版日期:2013-12-25 发布日期:2013-12-25
  • 基金资助:

    天元数学青年基金(11126175)和国家自然科学基金(11071001)资助

Teichm\"uller Mappings and the Mappings by Heights for Guadratic Differentials

 HUANG Hua-Ying   

  1. LMAM, School of Mathematical Sciences, Anhui University, Hefei 230601
  • Received:2012-10-09 Revised:2013-08-10 Online:2013-12-25 Published:2013-12-25
  • Supported by:

    天元数学青年基金(11126175)和国家自然科学基金(11071001)资助

摘要:

利用二次微分的高度映射构造了Teichm\"{u}ller空间的子空间T0内任意点内的极值拟共形映射的Hamilton序列.

关键词: 拟共形映射, 极值映射, Teichm\"{u}ller空间, Hamilton 序列

Abstract:

We use the theory of mapping by heights for quadratic differentials introduced by Marden and Strebel to find the
Teichm\"uller mappings in the equivalent classes in the space T0.

Key words: Quasiconformal mapping, Extremal mapping,  Teichm\"uller space, Hamilton sequence

中图分类号: 

  • 30C62