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
单位球上线丛的不变Cauchy-Riemann算子
Invariant Cauchy-Riemann Operators on Line Bundles overthe Unit Ball
投稿时间:1999-03-04  
DOI:10.3770/j.issn:1000-341X.2002.02.017
中文关键词:  Cauchy-Riemann算子  曲率张量  线丛
英文关键词:Cauchy-Riemann operators  curvaturc tensor  line bundle.
基金项目:
作者单位
袁斌贤 中国科学技术大学数学系,安徽,合肥230026 
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中文摘要:
      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)).
英文摘要:
      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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