Regularity of infinitesimal CR automorphisms
Complex Variables
2016-11-29 v1
Abstract
We study the regularity of infinitesimal CR automorphisms of abstract CR structures which possess a certain microlocal extension and show that there are smooth multipliers, completely determined by the CR structure, such that if is such an infinitesimal CR automorphism, then is smooth for all multipliers . As an application, we study the regularity of infinitesimal automorphisms of certain embedded hypersurfaces of infinite type.
Cite
@article{arxiv.1611.09112,
title = {Regularity of infinitesimal CR automorphisms},
author = {Stefan Fürdös and Bernhard Lamel},
journal= {arXiv preprint arXiv:1611.09112},
year = {2016}
}