Finite jet determination of CR embeddings

Details Finite jet determination of CR embeddings Finite jet determination of CR embeddings

2002-06-27

arxiv.org/abs/math/0206287v1

J. Geom. Anal. 14 (2004), no. 2, 241-265

Mathematics

Complex Variables

21 pages AMS LaTeX, uses PSTricks

Scientific paper

We prove finite jet determination results for smooth CR embeddings which are of constant degeneracy, using the method of complete systems. As an application, we derive a reflection principle for mappings between a Levi-nondegenerate hypersurface in C^N and a Levi-nondegenerate hypersurface in C^{N+1}. We also give an independent proof of the reflection principle for mappings between strictly pseudoconvex hypersurfaces in any codimension due to Forstneric.

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