Invariant Cauchy-Riemann Operators on Line Bundles overthe Unit Ball
Received:March 04, 1999  
Key Words: Cauchy-Riemann operators   curvaturc tensor   line bundle.  
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Author NameAffiliation
YUAN Bin-xian 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))
Citation:
DOI:10.3770/j.issn:1000-341X.2002.02.017
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