On different notions of homogeneity for CR-manifolds

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.

References in corpus (2)

• The equivalence and the embedding problems for CR-structures of any codimension
• Lie group structures on automorphism groups of real-analytic CR manifolds