A Note on Hermitian-Einstein Metrics on Parabolic Stable Bundles

被引：0
|
作者：
Li J.Y. [1 ,2 ]
Narasimhan M.S. [3 ]
机构：
[1] Institute of Mathematics, Acad. of Math. and System Sciences, Academia Sinica
[2] Institute of Mathematics, Fudan University
[3] Mathematics Section, Intl. Centre for Theoretic Physics, 34100 Trieste
来源：
Acta Mathematica Sinica | 2001年 / 17卷 / 1期
关键词：
Hermitian-Einstein metric; Kähler manifold; Parabolic stable bundle;
D O I：
10.1007/s101140000091
中图分类号：
学科分类号：
摘要：
M̄ be a compact complex manifold of complex dimension two with a smooth Kähler metric and D a smooth divisor on M̄. If E is a rank 2 holomorphic vector bundle on M with a stable parabolic structure along D, we prove that there exists a Hermitian-Einstein metric on E′ = E|M̄\D compatible with the parabolic structure, whose curvature is square integrable.
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页码：77 / 80
页数：3
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