A smooth regularity theorem for nondegenerate CR-mappings
Complex Variables
2007-05-23 v1
Abstract
We prove the following regularity result: If M and M' are smooth generic submanifolds of C^N and C^N' respectively, where N and N' are not necessarily equal, and if M is minimal, then every C^k-CR-map from M into M^\prime which is k-nondegenerate is smooth. As an application, every CR diffeomorphism of k-nondegenerate minimal submanifolds in C^N of class C^k is smooth.
Cite
@article{arxiv.math/0012010,
title = {A smooth regularity theorem for nondegenerate CR-mappings},
author = {Bernhard Lamel},
journal= {arXiv preprint arXiv:math/0012010},
year = {2007}
}
Comments
AMS-LaTeX, 11 pages