Journal of University of Science and Technology of China ›› 2017, Vol. 47 ›› Issue (6): 455-458.DOI: 10.3969/j.issn.0253-2778.2017.06.001

• Original Paper •     Next Articles

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

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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