On the analyticity of CR-diffeomorphisms
Complex Variables
2014-08-29 v1
Abstract
In any positive CR-dimension and CR-codimension we provide a construction of real-analytic holomorphically nondegenerate CR-submanifolds, which are CR-equivalent, but are inequivalent holomorphically. As a corollary, we provide the negative answer to the conjecture of Ebenfelt and Huang \cite{eh} on the analyticity of CR-equivalences between real-analytic Levi nonflat hypersurfaces in dimension 2.
Keywords
Cite
@article{arxiv.1408.6711,
title = {On the analyticity of CR-diffeomorphisms},
author = {Ilya Kossovskiy and Bernhard Lamel},
journal= {arXiv preprint arXiv:1408.6711},
year = {2014}
}
Comments
arXiv admin note: text overlap with arXiv:1309.6799