| 单位球上线丛的不变Cauchy-Riemann算子 |
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| 引用本文： | 袁斌贤. 单位球上线丛的不变Cauchy-Riemann算子[J]. 数学研究及应用, 2002, 22(2): 261-267 |
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| 作者姓名： | 袁斌贤 |
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| 作者单位： | 中国科学技术大学数学系,安徽,合肥230026 |
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| 摘 要： | Lm,E是Kahler流形M上Hermite丛E第m阶Cauchy－Riemann算子,给定一定条件,Lm,E是L1,E的多项式．当考虑M是黎曼面时,得到公式(16)．当E为Bn的典范线丛,证明了Lm,E=(?)(L1,E+(j-1)(j-2)).
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| 关 键 词： | Cauchy-Riemann算子 曲率张量 线丛 |
| 文章编号： | 1000-341X(2002)02-0261-07 |
| 收稿时间： | 1999-03-04 |
| 修稿时间： | 1999-03-04 |
Invariant Cauchy-Riemann Operators on Line Bundles overthe Unit Ball |
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| YUAN Bin-xian. Invariant Cauchy-Riemann Operators on Line Bundles overthe Unit Ball[J]. Journal of Mathematical Research with Applications, 2002, 22(2): 261-267 |
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| Authors: | YUAN Bin-xian |
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| Affiliation: | Dept. of Math.; University of Science and Technology of China; Hefei; China |
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| Abstract: | Let Lm,E be the mth order invariant Cauchy-Riemann operators on Hermitian bun-dles E over Kahler manifold M, given some conditions, Lm,E will be the polynomials of L1,E.In the paper, formula (16) is obtained when Riemannian surfaces are considered; and sup-pose E is the canonical bundle over Bn, then the following formula holds: Lm,E=(?)(L1,E+(j-1)(j-2)) |
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| Keywords: | Cauchy-Riemann operators curvaturc tensor line bundle. |
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