CR automorphisms of real analytic manifolds In complex space
Complex Variables
2009-09-25 v1
Abstract
In this paper we shall give sufficient conditions for local CR diffeomorphisms between two real analytic submanifolds of to be determined by finitely many derivatives at finitely many points. These conditions will also be shown to be necessary in model cases. We shall also show that under the same conditions, the Lie algebra of the infinitesimal CR automorphisms at a point is finite dimensional.
Cite
@article{arxiv.math/9603201,
title = {CR automorphisms of real analytic manifolds In complex space},
author = {M. S. Baouendi and P. Ebenfelt and L. P. Rothschild},
journal= {arXiv preprint arXiv:math/9603201},
year = {2009}
}