| 邱春晖.Stein流形上(p,q)型Koppelman-Leray-Norguet公式(英文)[J].数学研究及应用,1991,11(4):611~618 |
| Stein流形上(p,q)型Koppelman-Leray-Norguet公式(英文) |
| The Koppelman-Leray- Norguet formula of type (p,q) on Stein manifolds |
| 投稿时间：1989-12-31 |
| DOI：10.3770/j.issn:1000-341X.1991.04.030 |
| 中文关键词: |
| 英文关键词: |
| 基金项目: |
|
| 摘要点击次数: 2402 |
| 全文下载次数: 1163 |
| 中文摘要: |
| 设M是复n维Stein流形;并设开集D??M具有逐块C1边界.本文利用陈度量和陈联络,把Stein流形上(0,q)形式的Koppelman-Leray-Norguet公式推广到(p,q)形式,并得到D上?-方程的解.最后,还给出了Stein流形上实非退化强拟凸多面体的Koppelman-Leray-Norguet公式及其?-方程的解. |
| 英文摘要: |
| Let M be a Stein manifold of complex dimension n,and let an open set D??M have a piecewise C1-boundary. Using Chern metric and connection, we obtain an integral representation of (p, q) differential forms on D, which is a generali-zation of the Koppelman-Leray-Norgeut formula for (0,q)-forms on Stein mani-folds. A integral formula for solving the ?-equation on D is also obtained. Finally, a formula for real non-degenerate strictly pseudoconvex polyhedron is given . |
| 查看全文 查看/发表评论 下载PDF阅读器 |
|
|
|
