收稿日期: 2014-10-08
修回日期: 2015-03-06
网络出版日期: 2016-01-15
基金资助
国家自然科学基金(11471308)资助
An existence theorem and energy integral formula of HCMU metrics
Received date: 2014-10-08
Revised date: 2015-03-06
Online published: 2016-01-15
HCMU度量是紧黎曼面上带奇点的extremal Kähler度量.本文给出一个带锥奇点的非常曲率HCMU度量(non-CSC HCMU度量)的存在性定理,并讨论一般non-CSC HCMU度量的能量积分公式.
关键词： extremal Kä; hler度量; extremal Hermitian度量; non-CSC HCMU度量; 锥奇点; cusp奇点
魏志强 , 吴英毅 . HCMU度量的一个存在性定理和能量积分公式[J]. 中国科学院大学学报, 2016 , 33(1) : 16 -22 . DOI: 10.7523/j.issn.2095-6134.2016.01.003
An HCMU metric is an extremal Kähler metric with singularities on a compact Riemann surface. We prove an existence theorem of non-CSC HCMU metrics with conical singularities, and discuss the energy integral formula for general non-CSC HCMU metrics.
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