Finite jet determination of CR embeddings
classification
🧮 math.CV
keywords
determinationembeddingsfinitehypersurfacelevi-nondegeneratemappingsprinciplereflection
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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.
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