Journal of University of Chinese Academy of Sciences >
Conformal metrics on Riemann surfaces with cusp singularities
Received date: 2016-01-29
Online published: 2016-11-15
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
GUO Jinyu , WU Yingyi , WEI Zhiqiang . Conformal metrics on Riemann surfaces with cusp singularities[J]. Journal of University of Chinese Academy of Sciences, 2016 , 33(6) : 721 -728 . DOI: 10.7523/j.issn.2095-6134.2016.06.001
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