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  • 标题:On the Inhomogeneous Yang-Mills Equation dD*R D=f
  • 本地全文:下载
  • 作者:Sorin DRAGOMIR ; Hajime URAKAWA
  • 期刊名称:Interdisciplinary Information Sciences
  • 印刷版ISSN:1340-9050
  • 电子版ISSN:1347-6157
  • 出版年度:2000
  • 卷号:6
  • 期号:1
  • 页码:41-52
  • DOI:10.4036/iis.2000.41
  • 出版社:The Editorial Committee of the Interdisciplinary Information Sciences
  • 摘要:We build a canonical family { Ds } of Hermitian connections in a Hermitian CR-holomorphic vector bundle ( E , h ) over a nondegenerate CR manifold M , parametrized by S ∈ Γ ∞( End ( E )), S skewsymmetric. Consequently, we prove an existence and uniqueness result for the solution to the inhomogeneous Yang-Mills equation dD * R D = f on M . As an application we solve for D ∈ D ( E , h ) when E is either the trivial line bundle, or a locally trivial CR-holomorphic vector bundle over a nondegenerate real hypersurface in a complex manifold, or a canonical bundle over a pseudo-Einstein CR manifold.
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