A note on CR mappings of positive codimension
Complex Variables
2010-02-15 v1
Abstract
We prove the following Artin type approximation theorem for smooth CR mappings: given M a connected real-analytic CR submanifold in C^N that is minimal at some point, M' a real-analytic subset of C^N', and H:M->M' a smooth CR mapping, there exists a dense open subset O in M such that for any q in O and any positive integer k there exists a germ at q of a real-analytic CR mapping H^k:(M,q)->M' whose k-jet at q agrees with that of H up to order k.
Keywords
Cite
@article{arxiv.1002.2558,
title = {A note on CR mappings of positive codimension},
author = {Jean-charles Sunyé},
journal= {arXiv preprint arXiv:1002.2558},
year = {2010}
}