Asian Journal of Mathematics

Volume 11 (2007)

Number 2

[untitled]

Pages: 331 – 340

DOI: http://dx.doi.org/10.4310/AJM.2007.v11.n2.a9

Author

Dmitri Zaitsev

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

CR-manifold; homogeneity; equivalence; definable; semianalytic

2010 Mathematics Subject Classification

22E05, 32V05, 32Vxx

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