Asian Journal of Mathematics
Volume 11 (2007)
Pages: 331 – 340
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.
CR-manifold; homogeneity; equivalence; definable; semianalytic
2010 Mathematics Subject Classification
22E05, 32V05, 32Vxx