Publikationsserver
Stability and Hermitian-Einstein metrics for vector bundles on framed manifolds
The notions of stability of holomorphic vector bundles in the sense of Mumford-Takemoto and Hermitian-Einstein metrics in holomorphic vector bundles are adapted for canonically polarized framed manifolds, i. e. compact complex manifolds together with a smooth divisor admitting a certain projective e...
Gespeichert in:
| 主要作者: | |
|---|---|
| 其他作者: | |
| 格式: | Dissertation |
| 语言: | 英语 |
| 出版: |
Philipps-Universität Marburg
2009
|
| 主题: | |
| 在线阅读: | PDF-Volltext |
| 标签: |
添加标签
没有标签, 成为第一个标记此记录!
|
| 总结: | The notions of stability of holomorphic vector bundles in the sense of Mumford-Takemoto and Hermitian-Einstein metrics in holomorphic vector bundles are adapted for canonically polarized framed manifolds, i. e. compact complex manifolds together with a smooth divisor admitting a certain projective embedding. The main tool is the Poincaré metric, a special complete Kähler-Einstein metric on the complement of the divisor, whose asymptotic behaviour near the divisor is well-known due to results by Schumacher. The existence and uniqueness of Hermitian-Einstein connections in stable holomorphic vector bundles (Kobayashi-Hitchin correspondence) is proved in the setting of framed manifolds. |
|---|---|
| 实物描述: | 84 Seiten |
| DOI: | 10.17192/z2010.0073 |