A note on Hermitian-Einstein metrics on parabolic stable bundles

被引：3
|
作者：
Li, JY [1 ]
Narasimhan, MS
机构：
[1] Acad Sinica, Inst Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China
[2] Fudan Univ, Inst Math, Shanghai 200433, Peoples R China
[3] Int Ctr Theoret Phys, Math Sect, I-34100 Trieste, Italy
来源：
ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2001年 / 17卷 / 01期
关键词：
Hermitian-Einstein metric; parabolic stable bundle; Kahler manifold;
D O I：
10.1007/PL00011589
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let (M) over bar be a compact complex manifold of complex dimension two with a smooth Kahler metric and D a smooth divisor on (M) over bar. If E is a rank 2 holomorphic vector bundle on (M) over tilde with a stable parabolic structure along D, we prove that there exists a Hermitian-Einstein metric on E' = E\((M) over bar \D) compatible with the parabolic structure, whose curvature is square integrable.
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页码：77 / 80
页数：4
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