Projective connections in CR geometry |
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Authors: | Dan Burns Jr Steven Shnider |
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Institution: | (1) Department of Mathematics, McGill University, H3A 2K6 Montreal, P.Q., Canada;(2) Department of Mathematics, University of Michigan, 48109 Ann Arbor, Michigan, USA |
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Abstract: | Holomorphic invariants of an analytic real hypersurface in n+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.A. P. Sloan Fellow partially supported by N. S. F. |
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