On Different Notions of Homogeneity for CR-Manifolds

Dmitri Zaitsev

doi:ajm/1185891808

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Home > Journals > Asian J. Math. > Volume 11 > Issue 2 > Article

June 2007 On Different Notions of Homogeneity for CR-Manifolds

Dmitri Zaitsev

Asian J. Math. 11(2): 331-340 (June 2007).

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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.