中国科学技术大学学报 ›› 2020, Vol. 50 ›› Issue (2): 87-93.DOI: 10.3969/j.issn.0253-2778.2020.02.001

• 论著 •    下一篇

刻画共形双曲度量的孤立奇点

冯宇,史毅茜,许斌   

  1. 中国科学技术大学数学科学学院中科院吴文俊数学重点实验室,安徽合肥 230026
  • 收稿日期:2019-12-02 修回日期:2020-02-10 接受日期:2020-02-10 出版日期:2020-02-28 发布日期:2020-02-10

Characterizing isolated singularities of conformal hyperbolic metrics

  1. FENG Yu, SHI Yiqian, XU Bin
  • Received:2019-12-02 Revised:2020-02-10 Accepted:2020-02-10 Online:2020-02-28 Published:2020-02-10
  • Contact: XU Bin
  • About author:FENG Yu, male, born in 1990, PhD candidate. Research field:Differential geometry. E-mail: yuf@mail.ustc.edu.cn
  • Supported by:
    Supported by NNSF of China(11931009, 11971450), Anhui Initiative in Quantum Information Technologies (AHY150200), the Fundamental Research Funds for the Central Universities.

摘要: 利用复分析方法给出了共形双曲度量的孤立奇点的局部模型.这种方法本身有趣,并且有可能推广到高维的情况.

关键词: 共形双曲度量, 锥奇点, 尖奇点, 展开映射

Abstract: The explicit local models were classified for isolated singularities of complex one-dimensional hyperbolic metrics by complex analysis, which is interesting in its own way and could potentially be extended to higher dimensional cases.

Key words: conformal hyperbolic metrics, conical singularity, cusp singularity, developing map

中图分类号: