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›› 2016, Vol. 33 ›› Issue (6): 721-728.DOI: 10.7523/j.issn.2095-6134.2016.06.001

• Research Articles •     Next Articles

Conformal metrics on Riemann surfaces with cusp singularities

GUO Jinyu, WU Yingyi, WEI Zhiqiang   

  1. School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China
  • Received:2016-01-29 Online:2016-11-15

Abstract:

The metric on Riemann surface with singularities is one of important objects in complex geometry. We study conformal metrics on Riemann surfaces with only cusp singularities,whose area and Calabi energy are both finite, and obtain the exact expression of HCMU metrics near cusp singularities.

Key words: cusp singularity, extremal Hermitian metric, HCMU metric

CLC Number: