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Finite jet determination of CR embeddings

Peter Ebenfelt·Bernhard Lamel
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Abstract

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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Peter Ebenfelt, Bernhard Lamel. 2002-06-27. Finite jet determination of CR embeddings. https://arxiv.org/abs/math/0206287

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