Finite jet determination of CR embeddings

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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.
21 pages AMS LaTeX, uses PSTricks

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Complex Variables, 32H02

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http://salesiana.dossiersoluciones.com/handle/123456789/98307

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0206287
 http://arxiv.org/abs/math/0206287
 J. Geom. Anal. 14 (2004), no. 2, 241-265

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arXiv