Journal of University of Science and Technology of China ›› 2020, Vol. 50 ›› Issue (2): 87-93.DOI: 10.3969/j.issn.0253-2778.2020.02.001

• Original Paper •     Next Articles

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.

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

CLC Number: