English

On different notions of homogeneity for CR-manifolds

Complex Variables 2015-02-16 v1 Differential Geometry

Abstract

We show that various notions of local homogeneity for CR-manifolds are equivalent. In particular, if germs at any two points of a CR-manifold are CR-equivalent, there exists a transitive local Lie group action by CR-automorphisms near every point.

Keywords

Cite

@article{arxiv.math/0608300,
  title  = {On different notions of homogeneity for CR-manifolds},
  author = {Dmitri Zaitsev},
  journal= {arXiv preprint arXiv:math/0608300},
  year   = {2015}
}