中国科学技术大学学报 ›› 2017, Vol. 47 ›› Issue (6): 455-458.DOI: 10.3969/j.issn.0253-2778.2017.06.001

• 论著 •    下一篇

常曲率1共形度量在锥奇点附近的显示表达

冯宇,史毅茜,许斌   

  1. 中国科学技术大学数学科学学院,安徽合肥 230026
  • 收稿日期:2016-11-26 修回日期:2017-02-20 出版日期:2017-06-30 发布日期:2017-06-30
  • 通讯作者: 许斌
  • 作者简介:冯宇,男,1990年生,硕士生. 研究方向:微分几何. E-mail:yuf@mail.ustc.edu.cn
  • 基金资助:
    国家自然科学基金(11571330),中央高校基本科研专项资金(WK3470000003)资助.

On the explicit expression of a conformal metric of constant curvature one near a conical singularity

FENG Yu, SHI Yiqian, XU Bin   

  1. School of Mathematical Sciences, University of Science and Technology of China, Hefei 230026, China
  • Received:2016-11-26 Revised:2017-02-20 Online:2017-06-30 Published:2017-06-30

摘要: 利用展开映射, 证明了在常曲率1共形度量的一个角度为2πα>0的锥奇点附近, 存在适当的复坐标系z, 在其下该度量可表为

关键词: 常曲率1共形度量, 锥奇点, 展开映射, 可约度量

Abstract: Near a conical singularity with angle 2πα>0 of a conformal metric of constant curvature one, it was proved by using the developing map that there exists a suitable complex coordinate z under which the metric has the expression of 

Key words: conformal metric of constant curvature one, conical singularity, developing map, reducible metric

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