Projective connections in CR geometry

Dan Burns, Steven Shnider

Research output: Contribution to journalArticlepeer-review

9 Scopus citations


Holomorphic invariants of an analytic real hypersurface in ℂn+1 can be computed by several methods, coefficients of the Moser normal form [4], pseudo-con-formal curvature and its covariant derivatives [4], and projective curvature and its covariant derivatives [3]. The relation between these constructions is given in terms of reduction of the complex projective structure to a real form and exponentiation of complex vectorfields to give complex coordinate systems and corresponding Moser normal forms. Although the results hold for hypersurfaces with non-degenerate Levi-form, explicit formulas will be given only for the positive definite case.

Original languageEnglish
Pages (from-to)1-26
Number of pages26
JournalManuscripta Mathematica
Issue number1
StatePublished - Mar 1980
Externally publishedYes


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