Lie group structures on automorphism groups of real-analytic CR manifolds
Complex Variables
2009-01-12 v1 Differential Geometry
Abstract
Given any real-analytic CR manifold M, we provide general conditions on M guaranteeing that the group of all its global real-analytic CR automorphisms is a Lie group (in an appropriate topology). Our conditions are in particular satisfied when M is an arbitrary compact real-analytic hypersurface embedded in some Stein manifold.
Cite
@article{arxiv.math/0611015,
title = {Lie group structures on automorphism groups of real-analytic CR manifolds},
author = {Bernhard Lamel and Nordine Mir and Dmitri Zaitsev},
journal= {arXiv preprint arXiv:math/0611015},
year = {2009}
}
Comments
16 pages