收稿日期: 2008-07-11
修回日期: 2008-09-09
网络出版日期: 2009-03-15
基金资助
supported in part by the President Fund of GUCAS
On the character 1-form of an HCMU metric
Received date: 2008-07-11
Revised date: 2008-09-09
Online published: 2009-03-15
Supported by
supported in part by the President Fund of GUCAS
HCMU度量是一种在Riemann面上带奇点的extremal度量. 它可以被一个亚纯1-形式所刻划. 文章给出这个亚纯1-形式的一些重要性质. 作为应用,将证明一个HCMU度量的高斯曲率光滑的充要条件.
关键词： extremal度量; HCMU度量; 特征1-形式
吴英毅 . HCMU度量的特征1-形式[J]. 中国科学院大学学报, 2009 , 26(2) : 185 -193 . DOI: 10.7523/j.issn.2095-6134.2009.2.006
An HCMU metric is a kind of extremal metric with conical singularities on a Riemann surface. It can be characterized by a meromorphic 1-form. In this paper we give some important properties of this meromorphic 1-form. As an application we prove the sufficient and necessary condition of the Gauss curvature of an HCMU metric being smooth.
Key words： extremal metric; HCMU metric; character 1-form
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