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  • 标题:Pseudoconformal Geometry of Hypersurfaces in Cn+1
  • 本地全文:下载
  • 作者:D. Burns ; S. Shnider
  • 期刊名称:Proceedings of the National Academy of Sciences
  • 印刷版ISSN:0027-8424
  • 电子版ISSN:1091-6490
  • 出版年度:1975
  • 卷号:72
  • 期号:6
  • 页码:2433-2436
  • DOI:10.1073/pnas.72.6.2433
  • 语种:English
  • 出版社:The National Academy of Sciences of the United States of America
  • 摘要:The pseudoconformal geometry (CR structure) of a real hypersurface M in Cn+1 is reviewed. We give an alternative formulation of a theorem of Cartan-Tanaka-Chern on the existence of a unique normalized Cartan connection on a principal bundle Y over M. A family of curves defined by this connection, called chains, is shown to be the projection of light rays of a conformal equivalence class of Lorentz metrics on a trivial circle bundle over M. The simply connected homogeneous manifolds locally CR equivalent to the sphere are classified. A theorem on moduli for deformations of the complex structure on the ball in Cn+1 is given.
  • 关键词:equivalence of bounded domains ; tangential Cauchy-Riemann equations ; Cartan connections ; chains
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