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.