Finite jet determination of CR embeddings
Complex Variables
2007-05-23 v1
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.
Cite
@article{arxiv.math/0206287,
title = {Finite jet determination of CR embeddings},
author = {Peter Ebenfelt and Bernhard Lamel},
journal= {arXiv preprint arXiv:math/0206287},
year = {2007}
}
Comments
21 pages AMS LaTeX, uses PSTricks