2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/98307We 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 PSTricksComplex Variables32H02text